Question

I need an step by step explanation for this sum..​

Answer 1

Yeah I know the answer

But also mark me as brainliest

The answer is in the picture:

But there is no step by step explanation

Answer 2

Answer:

5

Step-by-step explanation:

3^(2x-8)/225 = 5^3/5^x

3^(2x-8)/(3*3*5*5) = 5^(3-x)...(a^m/a^n = a^(m-n)}

3^(2x-8)/(3^2*5^2)= 5^(3-x)

3^(2x-8-2)*5^(-2) = 5^(3-x)

3^(2x-10)*5^(-2) = 3^0*5^(3-x) ....(3^0=1)

equating exponents of same base we get

2x-10 = 0 and 3-x = -2

on solving one eqn we get

2x-10=0

2x=10

x=5

this value of x satisfied second equation also as 3-5 = -2 = RHS.

Hence, our solution is 5