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⇔by=x

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

4. Calculate the value of the exponential expression 5 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

Want more problems? Check here!