Question

Solve 40e^0.6x-3=237. Give the solution to the nearest hundredth

Answer 1

so:\[40e^{0.6x}-3=237\]

Answer 2

firs add 3 to both sides:
\[40e^{0.6x}=240\]
\[40\ln (240)=0.6x\]
divide by 0.6:
\[x=\frac{ 40\ln (240) }{ 0.6}\]
so just plug that into a calculator and you get:
approximately 365.38

Answer 3

the answer is 365.38