Question

What is the solution to the equation below? Round your answer to two decimal places. e^x = 0.7

Answer 1

Rouding to two decimal places, the solution is approximately x≈−0.36.

To solve the equation e^x =0.7, you can take the natural logarithm (ln) of both sides:

ln(e^x )=ln(0.7)

Using the property

ln(e^a )=a, the equation simplifies to:

x=ln(0.7)

Now, you can calculate the numerical value:

x≈ln(0.7)

Using a calculator:

x≈−0.35667

Rouding to two decimal places, the solution is approximately x≈−0.36.