What is the value of \( \log _{5} 125 \) ? 3 5 15 25

To solve \( \log_{5} 125 \), we start by expressing 125 as a power of 5. We know that \( 125 = 5^3 \). This means that when we look for \( \log_{5} 125 \), we’re really asking, “To what power must we raise 5 to get 125?” Since \( 5^3 = 125 \), we can confidently say that \( \log_{5} 125 = 3 \). So, the answer is 3! Let’s recap: logarithms can seem tricky, but breaking them down to powers makes them easier to handle. Remember that if you can express your number as a power of the base, finding the logarithm becomes a breeze. Next time you come across a logarithm, try to express it in terms of powers of the base. It’s a useful technique that can save you time and sometimes even help you spot patterns or shortcuts you might have missed at first glance!