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:

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

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

$x=\log_6 9+\log_6 4$

$x=\log_6 (9\cdot 4)$

$x=\log_6 36$

$6^x=36$

$x=2$