InterviewSolution
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InterviewSolution
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If p, q, r are in GP and `a^(p) = b^(q) = c^(y)`, then which of the following is true?A. `log_(c )b = log_(a)c`B. `log_(c )b = log_(b)a`C. `log_(c )a = log_(b)c`D. None of these |
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Answer» Correct Answer - B Let ap = bq = cr = k Then `p = log_(a) k, q = log_(b) k and r = log_(c) k` ltbr. Also given `q^(2) = pr` `(log_(b) k)^(2) = (log_(a) k) (log_(c) k)` `(log_(b) k) (log_(b) k)= (log_(a) k) (log_(c) k)` `(log_(b) k)/(log_(a) k) = (log_(c )k)/(log_(b) k)` `log_(b) a = log_(c ) b`. |
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