Determine if True log base 5 of 25=2

Problem

(log_5)(25)=2

Solution

1. Identify the logarithmic equation to be evaluated, which is (log_5)(25)=2

2. Rewrite the logarithmic expression in its equivalent exponential form using the definition (log_b)(x)=y⇔by=x

3. Substitute the values from the expression into the exponential form to get 5=25

4. Calculate the value of the exponential expression 5 which is 5×5=25

5. Compare the result of the calculation to the value in the equation to confirm that 25 = 25$.

Final Answer

(log_5)(25)=2* is True

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