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Chapter 10: Q. 320 (page 1054)

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

ex+1+2=16

Short Answer

Expert verified

On solving the given exponential equation, the exact answer isln14-1and the approximate answer is1.639.

Step by step solution

01

Step 1. Given information.

Consider the given exponential equation,

ex+1+2=16

Subtract 2from both sides,

ex+1=14

Take natural logarithm on both sides,

lnex+1=ln14

02

Step 2. Use the power property.

Using the power property,

x+1lne=ln14x+1=ln14

Subtract 1from both sides,

role="math" localid="1644939765622" x=ln14-1x鈮�1.639

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