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Chapter 10: Q. 441 (page 1065)

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

ex-4+8=23

Short Answer

Expert verified

The approximate value of x for the equation ex-4+8=23 is 6.708.

Step by step solution

01

Step 1. Given data 

The given Logarithmic Equation is ex-4+8=23.

02

Step 2. Use logarithms  

Take natural logarithms to both sides of the equation

ex-4+8=23ex-4=15ln(ex-4)=ln15

03

Step 3. Apply power property of logarithm

Use power property of logarithm

ex-4=15ln(ex-4)=ln15(x-4)lne=ln15x-4=2.70x=6.70

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