# How do you solve # log_11 (y + 8) + log_11 4 = log_11 60#?

##### 1 Answer

Sep 6, 2015

#### Explanation:

From laws of logs, the log of the sum is the product of the logs.

So left hand side of equation reduces to

#log_11(4y + 32) = log_11(60)#

Now take the anti-log base 11 on both sides to yield:

#4y + 32 = 60#

This is now a normal linear equation in y which may be solved by normal methods to eventually get