Question

What is the value of x?

Answer 1

x = log(1/g^6)/log(g) + (2 i π n)/log(g) for n element Z

Explanation:

Solve for x:

g^x + 1/h^3 = 1/g^6 + 1/h^3

Subtract 1/h^3 from both sides:

g^x = 1/g^6

Take the logarithm base g of both sides:

Answer: x = log(1/g^6)/log(g) + (2 i π n)/log(g) for n element Z