Question

solve the logarithmic equation \\(\log_{5}(625) = x\\).

a.) \\(x = 16\\)

b.) \\(x = 5\\)

c.) \\(x = 125\\)

d.) \\(x = 4\\)

Explanation:

Rewrite the logarithmic equation in exponential form

$$ 5^x = 625 $$

Express 625 as a power of 5

$$
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$$

$$ 5^x = 5^4 $$

Solve for x

$$ x = 4 $$

Answer:

• a.) \(x = 16\)
• b.) \(x = 5\)
• c.) \(x = 125\)
• d.) \(x = 4\) (Correct answer)