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

Math
Solve for .
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Convert the inequality to an equality.
Solve the equation.
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Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Solve for
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Raise to the power of .
Rewrite the equation as .
Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add and .
Divide each term by and simplify.
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Divide each term in by .
Reduce the expression by cancelling the common factors.
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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


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