Question

Find the value of the following:
a. 5^3𝑥 when 5^𝑥=2
b. 3^5𝑥 when (1/27)^𝑥=4

Answer 1

5^(3x) = (5^x)^3 = 2^3

1/27 = 3^-3, so 3 = (1/27)^(-1/3)
3^(5x) = (3^x)^5 = ((1/27)^x)^(-5/3) = 4^(-5/3) = 1/∛1024
I suspect a typo