Question

if 35 (1^x)=7 ^(1/y)=5^(1/z) than find y+z

Answer 1

I hope that the answer is correct and it helps you.

Answer 2

Answer:

$x = y + z$

Step-by-step explanation:

We need to find y+z from the given expression$35^{\frac{1}{x}}=7^{\frac{1}{y}}=5^{\frac{1}{z}}$

Let $35^{\frac{1}{x}}=7^{\frac{1}{y}}=5^{\frac{1}{z}}=k\text{(say)}$

$35^{\frac{1}{x}}=k$

$35=k^{x}$

$7^{\frac{1}{y}}=k$

$7=k^{y}$

$5^{\frac{1}{z}}=k$

$5=k^{z}$

So, that means

$k^{x} =k^{y}\times k^{z}$

$x = y + z$