Answer to Question #192679 in Algebra for will

Question

Solving Exponential Equation Practice:

1. 2^3x = 4⁹
2. 3^2x = 9¹⁰
3. 10^5x+3 = 1000¹¹

Answer 1

$2^{3x}=4^9$

$2^{3x}=2^{18}$

Hence

$3x=18$

$x=6$

$3^{2x}=9^{10}$

$3^{2x}=3^{20}$

Hence. $2x=20$

$x= 10$

$10^{5x+3}=1000^{11}$

$10^{5x+3}=10^{33}$

Hence. ${5x+3}=33$

$5x=30$

$x=6$