Question

4^n = 1/64 What value of n solves the equation?  not only the answer ... how do I work it?

Answer 1

`4^n = (1)/(64)\\ \\4^n =((64)/(1))^(-1)\\ \\4^n =64^(-1)\\ \\4^n =(4^3)^(-1)\\ \\4^n =4^(3*(-1))\\ \\4^n =4^(-3)\\ \\n=-3`