solve: log6 (2x + 4) =2

To solve the equation log6(2x + 4) = 2, we need to isolate the variable x.

First, rewrite the logarithmic equation in exponential form:

6^2 = 2x + 4

Simplify the exponential equation:

36 = 2x + 4

Next, isolate the term with x:

2x = 36 - 4

2x = 32

Finally, solve for x by dividing both sides by 2:

x = 32/2

x = 16

Therefore, the solution to the equation log6(2x + 4) = 2 is x = 16.