Convert the inequality to an equality.

Solve the equation.

Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .

Solve for

Raise to the power of .

Rewrite the equation as .

Move all terms not containing to the right side of the equation.

Add to both sides of the equation.

Add and .

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

Divide by .

The left side is less than the right side , which means that the given statement is always true.

True

The left side is not less than the right side , which means that the given statement is false.

False

The solution consists of the intervals that make the inequality true.

No solution

Solve the System of Inequalities log base 8 of 3x-5<2