# Solve for x log base b of twenty-five equals two

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

Take the root of both sides of the to eliminate the exponent on the left side.

The total solution is the sum of the solution's positive and negative components.

Clarify the right side of the equation.

Rewrite as .

Withdraw terms from under the radical, assuming positive real numbers.

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the to find the Initially solution.

Next, use the negative value of the To calculate the second answer.

The complete solution is the result of both the positive and negative portions of the solution.

Exclude the solutions that do not make true.

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