SOLUTION: log(1/3)27

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Question 116627: log(1/3)27

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

                        log%281%2F3%2C27%29 = x

Use the definition of logs: %281%2F3%29%5Ex = 27

Principle of exponents:    %283%2F1%29%5E%28-x%29 = 27

Dispense with 1 denominator  3%5E%28-x%29 = 27

Write 27 as 3³               3%5E%28-x%29 = 3%5E3

Equate powers of 3               -x = 3

Multiply both sides by -1         x = -3        

Edwin