Question

What is the solution to the equation below? Round your answer to two decimal places. 4*e^x=12.76

Answer 1

Answer:

$x=1.16$

Step-by-step explanation:

we have

$4(e^x)=12.76$

Solve for x

That means ---> Isolate the variable x

Divide by 4 both sides

$(e^x)=3.19$

Apply ln both sides

$ln[(e^x)]=ln(3.19)$

Apply property of logarithms (power rule) left side

$(x)ln(e)=ln(3.19)$

Remember that

$ln(e)=1$

$x=ln(3.19)$

$x=1.16$