Determine if True log base 5 of 125=3

Problem

(log_5)(125)=3

Solution

1. Identify the logarithmic equation to be evaluated, which is (log_5)(125)=3

2. Rewrite the logarithmic equation in its equivalent exponential form using the definition (log_b)(x)=y⇔b^y=x

3. Substitute the values from the given equation into the exponential form: 5^3=125

4. Calculate the value of the exponential expression 5^3 by multiplying 5×5×5

5. Compare the result of the calculation to the value in the equation: $125 = 125$.

Final Answer

(log_5)(125)=3* is True

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