Question

Find the value of m if 5^m-3×3^2m-8=225​

Answer 1

Answer:

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

or, 5^(x-3).3^(2x-8) = 3*3*5*5

or, 5^(x-3).3^(2x-8) = 5^2 . 3^2

comparing both sides we get,

5^(x-3) = 5^2

or, x-3 = 2 [if a^m = a^n, then m = n]

or, x = 2 + 3

or, x = 5

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

or, 2x-8 = 2 [if a^m = a^n, then m = n]

or, 2x = 10

or, x=5

x=m=5