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Chapter 10: Q. 440 (page 1065)

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

7ex+3=28

Short Answer

Expert verified

The approximate value of x for the equation 7ex+3=28 is -1.614.

Step by step solution

01

Step 1. Given data 

The given Logarithmic Equation is 7ex+3=28.

02

Step 2. Use logarithms  

Take natural logarithms to both sides of the equation

7ex+3=28ln(7ex+3)=ln28

03

Step 3. Apply power property of logarithm

Use power property of logarithm

7ex+3=28ln(7ex+3)=ln28ln7+ln(ex+3)=ln7+ln4(x+3)lne=ln4x+3=1.386x=-1.614

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