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Chapter 10: Q. 194 (page 1034)

In the following exercises,solve each logarithmic equation.

lnx=5.

Short Answer

Expert verified

The solution isx=e5.

Step by step solution

01

Step 1.Given information

Consider the logarithmic equation lnx=5.

The logarithmic from y=lnxis equivalent to exponential formx=e5.

02

Step 2.Solve the given logarithmic equation.

Comparing lnx=5with the standard form y=lnx,you have y=5.

Convert logarithmic equation in exponential equation as shown below

x=eyx=e5

So,the solution isx=e5

03

Step 3.Check

To check the solution,replace a by e5in original equation.

lnx=5lne5=5[x=e5]5lne=55=5[true]

Therefore,the solution isx=e5

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