how do you write an expression as a power of e?

Question

For my homework i am to write 5^x^3 as a power of e. how do i go about doing this?

Answer 1

Use the identities e^ln(x) = x and ln(a^x) = xln(a):

 

5^x³ = e^{ln(5^x^3)} = e^{x^3·ln(5)}