SOLUTION: log[4](3x+1)=2

Question 334146: log[4](3x+1)=2
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

When the equation is logarithmic and the variable you are solving for is in the argument of the logarithm, the key is to rewrite the logarithmic equation in exponential form:

which simplifies to:

This is now a very simple equation to solve:

With any logarithmic equation you should check your answers. You must ensure that no arguments of any logarithms become zero or negative!

Checking x = 5 in the original equation:

The argument is positive to the solution checks!
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