^{.6x}-3=237

^{.6x}=240

^{.6x}=6

^{.6x})=ln(6)

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

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You may start here by getting exponential expression alone.

40e^{.6x}-3=237

Start by adding 3 to both sides:

40e^{.6x}=240

Then divide by 40:

e^{.6x}=6

Now take the natural log of both sides:

ln(e^{.6x})=ln(6)

.6x=ln(6)

x=ln(6)/.6

Round the answer to the nearest hundredth:

x=2.97

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