{"id":17796,"date":"2026-05-02T19:25:49","date_gmt":"2026-05-02T13:25:49","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/logarithmic-equation-solution-17\/"},"modified":"2026-05-02T19:25:49","modified_gmt":"2026-05-02T13:25:49","slug":"logarithmic-equation-solution-17","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/logarithmic-equation-solution-17\/","title":{"rendered":"Logarithmic Equation Solution 17"},"content":{"rendered":"<p>Solve log_5(x + 2) = 4 for x.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>123<\/li>\n<li>625<\/li>\n<li>18<\/li>\n<li>623<\/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-17796","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_5(x + 2) = 4 means x + 2 = 5^4. Now calculate 5^4 = 625, so x + 2 = 625. Subtract 2 from both sides: x = 625 - 2 = 623. Finally, check the domain: x + 2 must be positive, and 623 + 2 = 625 &gt; 0, so the answer is valid.","mcq_options":[{"right":"no","answer":"123"},{"right":"no","answer":"625"},{"right":"no","answer":"18"},{"right":"yes","answer":"623"}],"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\/17796","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=17796"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17796"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17796"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17796"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17796"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}