Question

What is the value of b in the equation (y^-9)^b=y^45?

Answer 1

b = (log(y^45))/log(1/y^9) + (2 i π n)/log(1/y^9) for n element Z

Explanation:

Solve for b:

(1/y^9)^b = y^45

Take the logarithm base 1/y^9 of both sides:

Answer: b = (log(y^45))/log(1/y^9) + (2 i π n)/log(1/y^9) for n element Z