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