If log_b5=z , then the value of log_{b^2}5 is given by? (a). z/2 (b). z^2 (c). z (d). None of these

1 Answer
Sep 27, 2017

(a) . z/2

Explanation:

log _b 5 =z :. b^z =5

Let log _(b^2) 5 =x

log _(b^2) 5 =x :. (b^2)^x =5 or b^(2x) =5

Since b^z =5 , b^(2x) =5 :. b^z = b^(2x)

:. 2x= z :. x =z/2

x= z/2 :. (a) . z/2 [Ans]