{"id":17783,"date":"2026-05-02T19:23:59","date_gmt":"2026-05-02T13:23:59","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/logarithmic-equation-solution-4\/"},"modified":"2026-05-02T19:23:59","modified_gmt":"2026-05-02T13:23:59","slug":"logarithmic-equation-solution-4","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/logarithmic-equation-solution-4\/","title":{"rendered":"Logarithmic Equation Solution 4"},"content":{"rendered":"<p>Solve log_4(x + 4) = 5 for x.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>1020<\/li>\n<li>16<\/li>\n<li>252<\/li>\n<li>1024<\/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-17783","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 + 4) = 5 means x + 4 = 4^5. Now calculate 4^5 = 1024, so x + 4 = 1024. Subtract 4 from both sides: x = 1024 - 4 = 1020. Finally, check the domain: x + 4 must be positive, and 1020 + 4 = 1024 &gt; 0, so the answer is valid.","mcq_options":[{"right":"yes","answer":"1020"},{"right":"no","answer":"16"},{"right":"no","answer":"252"},{"right":"no","answer":"1024"}],"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\/17783","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=17783"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17783"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17783"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17783"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17783"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}