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Chapter 10: Q. 384 (page 1063)

In the following exercises, solve each equation.

e4x.e7=e19.

Short Answer

Expert verified

The solution of the equation is3.

Step by step solution

01

Step 1. Given information.

The given equation is,

e4x.e7=e19.

02

Step 2. Solving the equation.

Now to solve the equation we will write the same base on both sides of the equation and solve the obtained equation.

e4x.e7=e19e4x+7=e194x+7=194x=12x=3

03

Step 3. Checking the result.

e43.e7=e19e43+7=e19e12+7=e19e19=e19

Therefore, this is true.

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