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

User Keithwill
by
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1 Answer

11 votes
11 votes

we have the exponential equation


10e^(-3x)=564

Solve for x


e^(-3x)=(564)/(10)

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)

x=-1.34

User Vincent Pakson
by
2.9k points