{"id":17799,"date":"2026-05-02T19:26:10","date_gmt":"2026-05-02T13:26:10","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/logarithmic-equation-solution-20\/"},"modified":"2026-05-02T19:26:10","modified_gmt":"2026-05-02T13:26:10","slug":"logarithmic-equation-solution-20","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/logarithmic-equation-solution-20\/","title":{"rendered":"Logarithmic Equation Solution 20"},"content":{"rendered":"<p>Solve log_4(x + 6) = 4 for x.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>10<\/li>\n<li>58<\/li>\n<li>250<\/li>\n<li>256<\/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-17799","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_4(x + 6) = 4 means x + 6 = 4^4. Now calculate 4^4 = 256, so x + 6 = 256. Subtract 6 from both sides: x = 256 - 6 = 250. Finally, check the domain: x + 6 must be positive, and 250 + 6 = 256 &gt; 0, so the answer is valid.","mcq_options":[{"right":"no","answer":"10"},{"right":"no","answer":"58"},{"right":"yes","answer":"250"},{"right":"no","answer":"256"}],"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\/17799","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=17799"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17799"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17799"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17799"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17799"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}