What will be the value of x, if 5^(x +3) = 25 (3x - 4)?

What will be the value of x, if 5^(x +3) = 25 (3x - 4)?

Explanation

5^(x + 3) = 25(3x - 4)

Rewrite 25 as 5²:

5^(x + 3) = 5²(3x - 4)

Equate the exponents:

x + 3 = 2(3x - 4)

Simplify:

x + 3 = 6x - 8

Subtract x from both sides:

3 = 5x - 8

Add 8 to both sides:

11 = 5x

Divide by 5:

x = 11/5