Answer to Question #192672 in Algebra for will

Question

Solving Exponential Equations Practice:

1. 2^3x = 2¹⁵
2. 4^2x-1 = 4^x+2
3. 4^9x = 4³

Answer 1

$1: 2^{3x=2^{15}}$

since bases are same so power are equal

$3x=15$

$x=5$

$2: 4^{2x-1} = 4^{x+2}$

since bases are same so power are equal

$2x-1=x+2$

$x=3$

$3: 4^{9x} = 4^{3}$

since bases are same so power are equal

$9x=3$

$x=\frac{1}{3}$