Identify the Problem: We are asked to find the value of log_(5)125. This means we want to find the exponent that 5 must be raised to in order to get 125.Determine the Exponent: We know that 5 raised to the power of 3 is 125, because 5 * 5 * 5 = 125.Calculate the Logarithm: Therefore, log_(5)125 is equal to 3, since 5^3 = 125.

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$\log _{5} 125=$

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Math Problems

Grade 8

Relationship between squares and square roots

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\log _{5} 125=

Identify the Problem: We are asked to find the value of $\log_{5}125$ . This means we want to find the exponent that $5$ must be raised to in order to get $125$ .
Determine the Exponent: We know that $5$ raised to the power of $3$ is $125$ , because $5 \times 5 \times 5 = 125$ .
Calculate the Logarithm: Therefore, $\log_{5}125$ is equal to $3$ , since $5^3 = 125$ .