{"id":17795,"date":"2026-05-02T19:25:43","date_gmt":"2026-05-02T13:25:43","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/logarithmic-equation-solution-16\/"},"modified":"2026-05-02T19:25:43","modified_gmt":"2026-05-02T13:25:43","slug":"logarithmic-equation-solution-16","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/logarithmic-equation-solution-16\/","title":{"rendered":"Logarithmic Equation Solution 16"},"content":{"rendered":"<p>Solve log_3(x + 6) = 5 for x.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>243<\/li>\n<li>237<\/li>\n<li>9<\/li>\n<li>75<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705],"subject":[1425],"education_level":[1896],"class_list":["post-17795","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Convert the logarithmic equation into exponential form. The statement log_3(x + 6) = 5 means x + 6 = 3^5. Now calculate 3^5 = 243, so x + 6 = 243. Subtract 6 from both sides: x = 243 - 6 = 237. Finally, check the domain: x + 6 must be positive, and 237 + 6 = 243 &gt; 0, so the answer is valid.","mcq_options":[{"right":"no","answer":"243"},{"right":"yes","answer":"237"},{"right":"no","answer":"9"},{"right":"no","answer":"75"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/17795","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=17795"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17795"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17795"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17795"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17795"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}