If , where and , then is equal…

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

\log_{\lambda}x\cdot\log_x\lambda=\log_{\lambda}x

, where

\lambda\ne1

and

\lambda>0

, then

x

is equal to (1)

\lambda

(2)

5

(3)

\frac{1}{5}

(4) None of these