Question

If 5^x+1 = 25^ x-2; find the value of : 3^x-3 × 2^3-x

Answer 1

I am assuming powers are the whole expressions and not only x

(Please use brackets to ensure clarity of the question)

We know

$25 = {5}^{2}$

Using this in RHS

${25}^{x - 2} = {5}^{2x - 4}$

Now LHS and RHS are powers of the same number. So we can equate the powers

$2x - 4 = x + 1 \\ x = 5$

Now put the value of x in the question

${3}^{5 - 3} \times {2}^{3 - 5} \\ {3}^{ 2} \times {2}^{ - 2} \\ \frac{9}{4}$

Hope this helps you!

Pls mark as brainliest if it does!

Answer 2

Step-by-step explanation:

9/4 is the answer.

Hope it helps you.