MATH1111: College Algebra (20758)
Section 4.2 Logarithmic Functions
4.2 Quiz
100 points possible $\quad 0 / 5$ answered
Question 1
Write an equivalent exponential equation.
\[
\log _{4} 256=4
\]

Answer

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Answer

Final Answer: The equivalent exponential equation is $\boxed{4^4 = 256}$

Steps

Step 1 ：Given the logarithmic equation $\log_{4} 256 = 4$

Step 2 ：The general form of a logarithmic equation is $\log_b a = c$, which can be converted into an exponential equation as $b^c = a$

Step 3 ：In this case, $b = 4$, $a = 256$, and $c = 4$

Step 4 ：So, the equivalent exponential equation would be $4^4 = 256$

Step 5 ：Final Answer: The equivalent exponential equation is $\boxed{4^4 = 256}$