Discussion
What is the value of log5 (125 * 625/ 25) :
Answer: A
The value is 5.
Simplify inside the logarithm using powers of 5: \(125 = 5^3\), \(625 = 5^4\), \(25 = 5^2\).
\[ \begin{aligned} \frac{125 \times 625}{25} &= \frac{5^{3} \times 5^{4}}{5^{2}} = 5^{5} \\ \log_5 5^{5} &= 5 \end{aligned} \]
3125 is \(5^5\) itself, the number inside the logarithm rather than its logarithm. 6 and 25 come from adding or multiplying the exponents wrongly.
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