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The value of x^("log"(x) a xx "log"(a)y ...

The value of `x^("log"_(x) a xx "log"_(a)y xx "log"_(y) z)` is

A

x

B

y

C

z

D

a prime number

Text Solution

Verified by Experts

The correct Answer is:
C
We have,
`"log"_(x)a xx "log"_(a)y xx "log"_(y)z = "log"_(x)y xx "log"_(y)z = "log"_(x)z`
`therefore x^("log"_(x)a xx "log"_(a)y xx "log"_(y)z) = x^("log"_(x)z) = z " " [because a^("log"_(a) N)=N]`
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