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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]

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