Answer to Question #192678 in Algebra for will

Question

Solving Exponential Equation Practice:

1. 5^2x = 5¹⁰
2. 5^3x = 125^6x
3. 2^x-3 = 8⁵

Answer 1

1.

$5^{2x}=5^{10}\\2x=10\\x=5$

2.

$5^{3x}=5^{18x}\\3x=18x\\3x-18x=0\\-15x=0\\x=\frac{0}{15}\\x=0$

3.

$2^{x-3}=2^{3×5}\\x-3=15\\x=3+15\\x=18$