Change the following logarithmic expression to its equivalent exponential form.
$\(\log\)_4x=5$

• A. $4^{x}=5$
• B. $x^4=5$
• C. $4^5=x$
• D. $5^4=x$

Answer: (C)

Verified step by step guidance

1. Identify the given logarithmic equation: \( \log_4{x} = 5 \).
2. Recall the definition of a logarithm: \( \log_b{a} = c \) means \( b^c = a \).
3. Apply the definition to the given equation: \( \log_4{x} = 5 \) implies \( 4^5 = x \).
4. Rewrite the equation in exponential form: \( x = 4^5 \).
5. The equivalent exponential form of the logarithmic expression is \( x = 4^5 \).