Question #de587

1 Answer
Feb 8, 2018

x=7

Explanation:

Use the property of logs, in this case the quotient rule:

log_b(m/n)=log_b(m)-log_b(n)

So:

log_3((3x+6)/(x-4))=2

Here is the basic form of a logarithm:

log_b(a)=c hArr b^c=a

Using this rule, you get this:

9=(3x+6)/(x-4)

Cross multiply:

9x-36=3x+6

Solve for x:

6x=42

x=7

Have a nice day!