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Chapter 10: Q. 314 (page 1054)

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

4ex+1=16

Short Answer

Expert verified

On solving the given exponential equation, the exact answer is ln4-1and the approximate answer is0.386.

Step by step solution

01

Step 1. Given information.

Consider the given exponential equation,

4ex+1=16

Divide both sides by 4,

ex+1=4

Take natural logarithm on both sides,

lnex+1=ln4

02

Step 2. Use the power property.

Using the power property,

x+1lne=ln4x+1=ln4x=ln4-1x鈮�0.386

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Most popular questions from this chapter

In the following exercises, solve each logarithmic equation y=log0.6x

Convert from exponential to logarithmic form:

e3=x.

Convert from exponential to logarithmic form:

ex=6.

In the following exercises, match the graphs to one of the following functions:

鈸�2x鈸�2x+1鈸�2x-1鈸�2x+2鈸�2x鈭�2鈸�3x

Convert from exponential to logarithmic form:

(13)4=181.
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