Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( b^4 = 256 \)
Solución
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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Como
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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!

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