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Chapter 10: Q. 105 (page 1019)

In the following exercises, solve each equation.

e3x路e4=e10

Short Answer

Expert verified

The answer isx=2

Step by step solution

01

Step 1. Given

The equation ise3x路e4=e10

02

Step 2. Solve the equation

e3x路e4=e10e3x+4=e10

Bases are same so the exponents should be equal.

3x+4=103x=10-43x=6x=2

03

Step 3. Check the answer

Putx=2in given equation,

e3x路e4=e10e32路e4=e10e6路e4=e10e6+4=e10e10=e10

True

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