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

Rewrite as .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply and .

Divide by .

Rewrite the equation as .

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

False

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

True

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

No solution

Solve the System of Inequalities log base 256 of b>1/4