Solve for x log base 5 of x=2

Problem

(log_5)(x)=2

Solution

1. Identify the logarithmic equation, which is in the form (log_b)(y)=a

2. Apply the definition of a logarithm to rewrite the equation in exponential form y=ba

3. Substitute the values from the equation into the exponential form to get x=5

4. Evaluate the exponent to find the value of x

Final Answer

(log_5)(x)=2⇒x=25

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