Question

7^(5x-8) × 5^(x+2) = 30625
Find the value of x

Answer 1

7^(5x-8) x 5^(x+2) = 30625
7^(5x-8) x 5^(x+2) = 5⁴ x 7²
on comparing the powers,
5x-8 = 2 ; x+2=4
x=(2+8)/5 ; x= 4-2
x= 10/5 ; x=2
x=2
therefore the value of x is 2

I hope it helps you

Answer 2

Answer:

$7^{5x-8} * 5^{x+2}=30625$

$7^{5x-8} * 5^{x+2} = 5^{4} * 7^{2}$

⇒5x-8=2

5x=8+2=10

x=10/5=2

⇒x+2=4

x=4-2=2