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Chapter 5: Q 36. (page 298)

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

lne3

Short Answer

Expert verified

The exact value of the logarithm is 3.

Step by step solution

01

Step 1. Given information

A logarithmic function is given aslne3.

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 lne3=x

By changing rule of logarithm to exponential function,

ex=e3ex=e3x=3lne3=3

The required value is,

lne3=3

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