Logarithm Rules – Exercise 5579

Exercise

Solve the equation:

x=2\log_6 3+\log_6 8-\log_6 2

Final Answer

Show final answer

Solution

Using Logarithm Rules we get:

x=2\log_6 3+\log_6 8-\log_6 2

x=\log_6 3^2+\log_6 \frac{8}{2}

x=\log_6 9+\log_6 4

x=\log_6 (9\cdot 4)

x=\log_6 36

6^x=36

x=2