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

Solve for .
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.
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