What is the solution to the equation below? (round your answer to two decimal places.) e^x=2.4
a. x=0.49
b. x=1.40
c. x=0.88
d. x=0.32

C

Step-by-step explanation:

The equation given is an exponential equation:

The first step in solving these type of equations is to take the Natural Logarithm (Ln) of both sides, so we have:

Now, we use the property of logarith shown below to further simplify:

We can write:

From basic exponential theory, we know Ln(e) = 1, thus we have:

Using calculator, we have:

Rounding to 2 decimal places,

x = 0.88

Answer choice C is right.

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