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Chapter 5: Q 35. (page 298)

Find the exact value of the logarithm without using a calculator.

lne

Short Answer

Expert verified

The exact value of the logarithm is12.

Step by step solution

01

Step 1. Given information

A logarithmic function is given aslne.

02

Step 2. Formula Used

The logarithmic function y=lnx can be changed into an exponential statement as x=ey.

03

Step 3. Finding Value of the logarithm 

Consider lne=x

By changing rule of logarithm to exponential function,

ex=eex=e12x=12lne=12

The required value is,

lne=12

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