Question

2^(x+7) + 2^(x+5) = 160 then x=?​

Answer 1

Topic: Exponential equation

Hint.

When we find the product of numbers whose bases are the same, the exponent is added.

Solution.

Given, $2^{x+7}+2^{x+5}=160$.

Let $t=2^{x+5}$, then multiply 4 on the equation. Then $4t=2^{x+7}$.

$\implies 4t+t=160$

$\implies 5t=160$

$\implies t=32$

Substituting $t=2^{x+5}$ we have $2^{x+5}=2^{5}$.

$\implies x+5=5$

$\implies \boxed{x=0}$

Answer 2

Answer : -

• => X = 0

see explanation in attachment .