Solve for x to nearest hundredth 10e^-3x=564

Keithwill asked Nov 7, 2023

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Keithwill asked Nov 7, 2023

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11 votes

we have the exponential equation

Solve for x

Apply ln on both sides

$\ln e^(-3x)=\ln (564)/(10)$

Applying property of log

$\begin{gathered} (-3x)\cdot\ln e=\ln (564)/(10) \\ \\ (-3x)=\ln (564)/(10) \end{gathered}$
$x=-(\ln (564)/(10))/(3)$

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