### Concept (1)

Just as we can use logarithms to access exponents in exponential equations, we can use exponentiation to access the insides of a logarithm. Solving logarithmic equations often involves exponentiating logarithms in order to get rid of the log and access its insides. Sometimes we can use the product rule, the quotient rule, or the power rule of logarithms to help us with solving logarithmic equations.

### Sample Problems (6)

Need help with "Solving a Logarithmic Equation" problems? Watch expert teachers solve similar problems to develop your skills.

Solve:

log3(x² + 10x + 25) = 4
###### Problem 1
How to solve a logarithmic equation of a trinomial by putting it into exponential form and factoring.

Solve:

2log4(3x − 2) = 6
###### Problem 2
How to solve a logarithmic equation of a binomial by putting it into exponential form.

Solve:

log7(5 − x) = log78
###### Problem 3
How to solve a logarithmic equation with a single logarithm on both sides of the equal sign.
###### Problem 4
The connection between algebraic extraneous solutions to logarithmic equations.
###### Problem 5
Using the property that if log x = log y, then x = y , and checking for extraneous solutions.
###### Problem 6
How to solve an equation of the form log x = constant