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91Ó°ÊÓ

In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places

ex=23

Short Answer

Expert verified

The approximate value of x for the equationex=23 is3.135

Step by step solution

01

Step 1. Given data 

The given Logarithmic Equation isex=23

02

Step 2. Use logarithms 

Take natural logarithms to both sides of the equation

ex=23lnex=ln23

03

Step 3. Apply power property of logarithm

Use power property of logarithm

lnex=ln23xlne=ln23

as lne=1

soxlne=ln23x=ln23x≈3.135

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