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))`

Explanation

To prove that \( x = a^{\frac{1}{1 - \log_a z}} \) given the equations \( y = a^{\frac{1}{1 - \log_a x}} \) and \( z = a^{\frac{1}{1 - \log_a y}} \), we will follow these steps:

### Step 1: Rewrite the equation for \( y \)

Given:
\[ y = a^{\frac{1}{1 - \log_a x}} \]
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