Find the exact solution to the exponential equation

Ответ:

kseibles202

16.01.2022

$500=20(1.5)^{4x}\implies \cfrac{500}{20}=1.5^{4x}\implies 25=1.5^{4x}
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\textit{now, we'll take a common log, any will do, we'll use ln()}
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ln(25)=ln\left(1.5^{4x} \right)\\\\
-----------------------------\\\\
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\
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thus\implies ln(25)=4xln(1.5)\implies \cfrac{ln(25)}{4ln(1.5)}=x$

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Ответ:

elianagilbert3p3hh63

13.12.2022

Mathematics

.75 hours or 45 minutes make sure to add the forward slash

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Find the exact solution to the exponential equation 500=20(1.5)^(4x)

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