Logarithm Rules – Exercise 5574

Exercise

Solve the equation:

\log_x (\frac{1}{27})=3

Final Answer

Show final answer

Solution

Using Logarithm Rules we get:

\log_x (\frac{1}{27})=3

-\log_x 27=3

-\log_x 3^3=3

-3\log_x 3=3

\log_x 3=-1

x^{-1}=3

\frac{1}{x}=3

x=\frac{1}{3}