Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
36.1k views
in Logarithm by (24.0k points)
closed by

\(\frac{1}{(log_a\,bc)+1}+\frac{1}{(log_b\,ac)+1}+\frac{1}{(log_c\,ab)+1}\) is equal to :

(a) 1 

(b) 2 

(c) 0 

(d) abc

1 Answer

+1 vote
by (23.5k points)
selected by
 
Best answer

(a) 1

\(\frac{1}{log_a\,bc+1}+\frac{1}{log_b\,ac+1}+\frac{1}{log_c\,ab+1}\)

\(\frac{1}{log_a\,bc+log_a\,a}+\frac{1}{log_b\,ac+log_b\,b}+\frac{1}{log_c\,ab+log_C\,c}\)

\(\frac{1}{log_a(abc)}+\frac{1}{log_b(abc)}+\frac{1}{log_c(abc)}\)

= logabc(a) + logabc(b) + logabc(c) = logabcabc = 1

\(\bigg(\)Using loga b = \(\frac{1}{log_ba}\bigg)\)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...