Question

Answers please with step by step Explanation plz guys help me ​

Answer 1

Answer:

See below.

Step-by-step explanation:

We are given,

$\begin{aligned}10^{0.35}=z\\ 10^{0.7}=y\\ z^{x}=y^{z}\end{aligned}$

We can observe that,

$\begin{aligned}10^{0.7}=10^{2\times 0.35}=\left( 10^{0.35}\right) ^{2}\\ \Rightarrow y=z^{2}\end{aligned}$

On solving,

$\begin{aligned}z^{x}=y^{2}\\ z^{x}=\left( z^{2}\right) ^{2}\\ z^{x}=z^{4}\\ x=4\end{aligned}$