Question
Write the following equation in its equivalent exponential form. \( 4=\log _{\mathrm{b}} 256 \) The exponential form is (Type an equation.)
Ask by Crawford Osborne. in Saudi Arabia
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( b^4 = 256 \)
Solution
The given logarithmic equation is
\[
4 = \log_b 256.
\]
Recall that the logarithmic form \( a = \log_b c \) is equivalent to the exponential form
\[
b^a = c.
\]
Applying this equivalence with \( a = 4 \) and \( c = 256 \), we get
\[
b^4 = 256.
\]
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Simplify this solution Mind Expander
The exponential form is \( b^4 = 256 \). This transformation shows that \( b \) raised to the power of 4 equals 256, making it easier to understand the relationship between the base, the logarithm, and the result!
