{"id":522972,"date":"2026-09-15T20:17:41","date_gmt":"2026-09-15T17:17:41","guid":{"rendered":"https:\/\/menhj.com\/videos\/?post_type=watch&#038;p=522972"},"modified":"2026-09-15T20:17:41","modified_gmt":"2026-09-15T17:17:41","slug":"8-3-logarithms-and-logarithmic-functions-of-10-advanced-mathematics","status":"publish","type":"watch","link":"https:\/\/menhj.com\/videos\/watch\/8-3-logarithms-and-logarithmic-functions-of-10-advanced-mathematics\/","title":{"rendered":"8 3 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 Logarithms and Logarithmic Functions \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0639\u0627\u0634\u0631 \u0645\u062a\u0642\u062f\u0645"},"content":{"rendered":"<p>1. 8 3 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 Logarithms and Logarithmic Functions \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0639\u0627\u0634\u0631 \u0645\u062a\u0642\u062f\u0645 \u2014 \u0645\u062d\u0645\u062f \u0646\u0627\u0635\u0631 Math<br \/>\n2. \u0627\u0644\u0648\u062d\u062f\u0629 8 \u0627\u0644\u062f\u0631\u0633 3 8 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0648\u0627\u0644\u062f\u0631\u0633 4 8 \u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0648\u0627\u0644\u0645\u062a\u0628\u0627\u064a\u0646\u0627\u062a \u0648\u0627\u0644\u062f\u0631\u0633 5 \u2014 \u0641\u064a\u062f\u064a\u0648\u0647\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u0627\u0630 \u0627\u0644\u0645\u0647\u0646\u062f\u0633 \u0645\u062d\u0645\u062f \u0645\u064a\u0631\u0629<br \/>\n3. 6 1 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0647 \u0644\u0644\u0635\u0641 \u0627\u0644\u0639\u0627\u0634\u0631 \u0627\u0644\u0645\u062a\u0642\u062f\u0645 \u0648\u0627\u0644\u062d\u0627\u062f\u064a \u0639\u0634\u0631 \u0648\u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0634\u0631 \u0627\u0644\u0639\u0627\u0645 part 1 \u2014 samah math<br \/>\n4. \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0635\u0641 \u062d\u0627\u062f\u064a \u0639\u0634\u0631 \u0639\u0627\u0645 \u0648 \u0639\u0627\u0634\u0631 \u0645\u062a\u0642\u062f\u0645 \u2014 Study with rama<br \/>\n5. 6 1 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0647 \u0644\u0644\u0635\u0641 \u0627\u0644\u0639\u0627\u0634\u0631 \u0627\u0644\u0645\u062a\u0642\u062f\u0645 \u0648\u0627\u0644\u062d\u0627\u062f\u064a \u0639\u0634\u0631 \u0648\u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0634\u0631 \u0627\u0644\u0639\u0627\u0645 part 2 \u2014 samah math<br \/>\n6. 8 4 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0648\u0627\u0644\u0645\u062a\u0628\u0627\u064a\u0646\u0627\u062a \u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 Solving Logarithmic Equations Inequalitie \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0639\u0627\u0634\u0631 \u0645\u062a\u0642\u062f\u0645 \u2014 \u0645\u062d\u0645\u062f \u0646\u0627\u0635\u0631 Math<br \/>\n7. \u0639\u0627\u0634\u0631 \u0645\u062a\u0642\u062f\u0645 \u0627\u0644\u0648\u062d\u062f\u0629 8 \u0627\u0644\u062f\u0648\u0627\u0644 \u0648\u0627\u0644\u0639\u0644\u0627\u0642\u0627\u062a \u0627\u0644\u0623\u0633\u064a\u0629 \u0648\u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0627\u0644\u062f\u0631\u0633 1 \u0648 2 \u0641\u0635\u0644 \u062b\u0627\u0646\u064a \u2014 \u0641\u064a\u062f\u064a\u0648\u0647\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u0627\u0630 \u0627\u0644\u0645\u0647\u0646\u062f\u0633 \u0645\u062d\u0645\u062f \u0645\u064a\u0631\u0629<br \/>\n8. 8 8 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0623\u0633\u064a\u0629 \u0648\u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 Using Exponential and Logarithmic Functions \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u2014 \u0645\u062d\u0645\u062f \u0646\u0627\u0635\u0631 Math<br \/>\n9. \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0627\u0644\u0648\u062d\u062f\u0629 6 \u0627\u0644\u062f\u0631\u0633 1 \u2014 Best Math<br \/>\n10. \u0639\u0627\u0634\u0631 \u0645\u062a\u0642\u062f\u0645 \u0627\u0644\u062f\u0631\u0633 6 8 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u0628\u062a\u0645\u0627\u062a \u0627\u0644\u0639\u0627\u062f\u064a\u0629 \u0648\u0627\u0644\u062f\u0631\u0633 7 8 \u0641\u0635\u0644 \u062b\u0627\u0646\u064a \u2014 \u0641\u064a\u062f\u064a\u0648\u0647\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u0627\u0630 \u0627\u0644\u0645\u0647\u0646\u062f\u0633 \u0645\u062d\u0645\u062f \u0645\u064a\u0631\u0629<br \/>\n11. 8 7 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0623\u0633\u0627\u0633 e Base e and Natural Logarithms \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0639\u0627\u0634\u0631 \u0645\u062a\u0642\u062f\u0645 \u2014 \u0645\u062d\u0645\u062f \u0646\u0627\u0635\u0631 Math<br \/>\n12. 2 2 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 Logarithmic Functions \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u062b\u0627\u0646\u0648\u064a\u0629 \u2014 \u0645\u062d\u0645\u062f \u0646\u0627\u0635\u0631 Math<br \/>\n13. 8 5 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a Properties of logarithm \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0639\u0627\u0634\u0631 \u0645\u062a\u0642\u062f\u0645 \u2014 \u0645\u062d\u0645\u062f \u0646\u0627\u0635\u0631 Math<br \/>\n14. 2 2 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 11 \u0645\u062a\u0642\u062f\u0645 12 \u0639\u0627\u0645 \u2014 \u0639\u0628\u062f\u0627\u0644\u0644\u0647 \u0627\u0644\u0633\u0628\u0627\u0639\u0649<br \/>\n15. 8 6 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a \u0627\u0644\u0639\u0627\u062f\u064a\u0629 Common Logarithms \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0639\u0627\u0634\u0631 \u0645\u062a\u0642\u062f\u0645 \u2014 \u0645\u062d\u0645\u062f \u0646\u0627\u0635\u0631 Math<br \/>\n16. \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 2 \u2014 iEN<br \/>\n17. \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u2014 \u0623\/ \u0641\u0647\u062f \u0628\u0646 \u0639\u0628\u062f\u0627\u0644\u0644\u0647 \u062e\u0644\u0641 \u0627\u0644\u0645\u062d\u0645\u062f\u064a<br \/>\n18. \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u0627\u062a \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629 \u0627\u0644\u062c\u0632\u0621 \u0627\u0644\u0623\u0648\u0644 \u2014 \u202b\u0639\u0647\u0648\u062f \u0627\u0644\u062e\u062b\u0639\u0645\u064a \u0645\u062f\u0627\u0631\u0633 \u0637\u0644\u0627\u0626\u0639 \u0627\u0644\u063a\u062f \u0627\u0644\u0646\u0645\u0648\u0630\u062c\u064a\u0629 (\u0627\u0644\u062e\u062b\u0639\u0645\u064a)\u202c\u200e<br \/>\n19. 1 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0627\u0633\u064a\u0647 \u0648\u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0647 \u0644\u0644\u0635\u0641 \u0627\u0644\u0639\u0627\u0634\u0631 \u0627\u0644\u0645\u062a\u0642\u062f\u0645 \u0648\u0627\u0644\u062d\u0627\u062f\u064a \u0639\u0634\u0631 \u0648\u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0634\u0631 \u0627\u0644\u0639\u0627\u0645 \u2014 samah math<\/p>\n","protected":false},"featured_media":522973,"template":"","meta":[],"categories":[],"tags":[],"class_list":["post-522972","watch","type-watch","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/watch\/522972","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/watch"}],"about":[{"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/types\/watch"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/media\/522973"}],"wp:attachment":[{"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/media?parent=522972"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/categories?post=522972"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/menhj.com\/videos\/wp-json\/wp\/v2\/tags?post=522972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}