Question

which is the logarithmic form of (25 = 5^2)?

(log_{2} 5 = 25)
(log_{25} 2 = 5)
(log_{5} 25 = 2)
(log_{5} 2 = 25)

Explanation:

Convert exponential equation to logarithmic form

Using the Logarithmic and Exponential Inverses knowledge point

$$ b^y = x \iff \log_b(x) = y $$

$$ 5^2 = 25 \implies \log_5(25) = 2 $$

Answer:

• (A) \(\log_{2}5 = 25\)
• (B) \(\log_{25}2 = 5\)
• (C) \(\log_{5}25 = 2\) (Correct answer)
• (D) \(\log_{5}2 = 25\)