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If y = a^(1/(1-log(a) x)) and z = a^(1/...

If ` y = a^(1/(1-log_(a) x)) and z = a^(1/(1-log_(a)y))",then prove that "x=a^(1/(1-log_(a)z))`

A

`a^(1/(1+log_az))`

B

`a^(1/(2+log_az))`

C

`a^(1/(1-log_az))`

D

`a^(1/(2-log_az))`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-LOGARITHM AND THEIR PROPERTIES-Exercise (Single Option Correct Type Questions)
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  9. If (x(y+z-x))/log x = (y(z+x-y))/log y = (z(x+y-z))/log z ," prove th...

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  10. If y = a^(1/(1-log(a) x)) and z = a^(1/(1-log(a)y))",then prove that ...

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