Question

current learning objective: expressing an exponential model in base e
question 15 practice similar questions
score: 0 of 1 point
rewrite ( y = 7 d ( 13 c ) ^ { x } ) as an exponential equation with base e. give the exact answer.
( y = 7 d e ^ { ln ( 13 c ) x } )
note: both d and c are positive constants.
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Explanation:

Step1: Use the property \(a^x = e^{x\ln a}\)

We know that for any positive number \(a\), \(a^x=e^{x\ln a}\). Here \(a = d(13c)\), so \(y = 7d(13c)^{x}\) can be rewritten as \(y=7e^{x\ln(d(13c))}\)

Answer:

\(y = 7e^{x\ln(13cd)}\)