Question

Find the value of p when 3^p = 1/9. is there a method to solve this instead of trial and error?

Answer 1

`{3 }^(p) = (1)/(9)`

`{3 }^(p) = 9 {}^( - 1)`

`{3 }^(p) = (3 {}^(2) ) {}^( - 1)`

`{3 }^(p) = 3 {}^{} {}^( - 2)`

`p = - 2`