Question

(128)^2x=4^x+8 what is the value of x​

Answer 1

Answer:

$\left(128\right)^{2x}=4^{x+8}\quad :\quad x=\frac{4}{3}\quad \left(\mathrm{Decimal}:\quad x=1.33333\dots \right)$

Explanation:

$\left(128\right)^{2x}=4^{x+8}$

$14x=2\left(x+8\right)$

$x=\frac{4}{3}$

Answer 2

Answer:

Polynomial Roots Calculator found no rational roots. Trying to factor as a Difference of Squares: 3.4 Factoring: x2 - 8. Check : 8 is not a square !!