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Chapter 10: Q. 473 (page 1068)

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

5ex鈭�4=40

Short Answer

Expert verified

The exact answer is 6.07944and approximated answer isrole="math" localid="1645086756711" 6.079.

Step by step solution

01

Step 1. Given Information 

We are given an expression5ex鈭�4=40.

Use properties of logarithm to solve the given equation.

02

Step 2. Solving the expression 

Isolating the variable, we get

ex鈭�4=405ex鈭�4=8

Taking logarithm on both sides, we get

lnex鈭�4=ln8

x-4=2.07944x=2.07944+4x=6.07944x鈮�6.079

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Most popular questions from this chapter

In the following exercises, graph each function in the same coordinate system:

f(x)=3x,g(x)=3x+2

On the same coordinate system, graph:

f(x)=4x

g(x)=4x-2

On the same coordinate system, graph:

f(x)=2x

g(x)=2x-1

Convert each logarithmic equation to exponential form:

4=logx81.

Convert from exponential to logarithmic form:

x13=63.
See all solutions

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