Question

If 5 raise to the power x+3 = 25 raise to the power 3x-4, find the value of x.

Answer 1

5^x+3 = 25^3x-4
5^x+3 = 5^2(3x-4)
5^x+3 = 5^6x-8
by comparing the powers,
x+3 = 6x-8
x-6x = -8-3
-5x = -11
x = 11/3...
i hope it helps...........

Answer 2

5 to the power x+3 = 5² to the power 3x-4
bases r equal equate the powers
x+3 = 2(3x-4)
x+4= 6x-8
12 =5x 
x= 12/5
x = 2.4