Find the value of the following:
a. 5^3š„ when 5^š„=2
b. 3^5š„ when (1/27)^š„=4
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/ā1024
I suspect a typo
a. 5^3š„ when 5^š„=2
b. 3^5š„ when (1/27)^š„=4
1/27 = 3^-3, so 3 = (1/27)^(-1/3)
3^(5x) = (3^x)^5 = ((1/27)^x)^(-5/3) = 4^(-5/3) = 1/ā1024
I suspect a typo