st","extracted_subject":"MATH","extracted_chapter":"LOGARITHM, INDICES SURDS, PARTIAL FRACTION (OUT OF SYLLABUS)","extracted_topic":"LOGARITHMS","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_2036.png?top_left_x=532&top_left_y=519&width=532&height=214&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e73425d76b7ab31fa93","slug":"the-value-of-x-satisfying-logsubasub1-logsubbsub1-","content":"The value of x, satisfying log_a(1 + log_b{1 + log_c(1 + log_px)}) = 0, is","options":[{"_id":"68a3e88d7f15af4716c6bed7","text":"4","sequence":0,"isCorrect":false},{"_id":"68a3e88d7f15af4716c6bed8","text":"3","sequence":1,"isCorrect":false},{"_id":"68a3e88d7f15af4716c6bed9","text":"2","sequence":2,"isCorrect":false},{"_id":"68a3e88d7f15af4716c6beda","text":"1","sequence":3,"isCorrect":true}],"correct_answer":"1","explanation":"The given equation yields 1 + log_b{1 + log_c(1 + log_px)} = 1 ⇒ log_b{1 + log_c(1 + log_px)} = 0 ⇒ 1 + log_c(1 + log_px) = 1 ⇒ log_c(1 + log_px) = 0 ⇒ 1 + log_px = 1\n\n⇒ log_px = 0\n\n⇒ x = 1","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:39.009Z","__v":0,"vector_store_id":"52eb2ace-9135-41f9-a611-fdd400190dbb","updated_at":"2024-08-30T21:49:39.009Z","isStarred":false},"params":{"questionSlug":"the-value-of-x-satisfying-logsubasub1-logsubbsub1-"}}]}]]

Question: The value of x, satisfying log<sub>a</sub>(1 + log<sub>b</sub>{1 + log<sub>c</sub>(1 + log<sub>p</su...

Solution