Question

Please someone help me with this! Giving brainliest :)

Answer 1

Answer:

nswer: x = 0

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer 2

Answer:

$n=3$

Step-by-step explanation:

Note that $2^5*5^2=2^3*2^2*5^2=2^3*(2*5)^2=2^3*10^2$.

Aha! We see a path to the solution!

We now know that our equation is actually $2^3*10^2=2^{n}*10^2$.

We can divide both sides by $10^2$ to get $2^3=2^{n}$.

By inspection or taking the logarithm base 2 of both sides, we see that $3=n$.

So, the answer is $\boxed{n=3}$ and we're done!