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Chapter 5: Q 33. (page 298)

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

log24

Short Answer

Expert verified

The exact value of the logarithm is 4.

Step by step solution

01

Step 1. Given information

A logarithmic function is given aslog24.

02

Step 2. Formula Used

The logarithmic function y=logax can be changed into an exponential statement as x=ay.

03

Step 3. Finding Value of the logarithm

Consider log24=x

By changing rule of logarithm to exponential function,

2x=42x=24x=4log24=4

The required value is,

log24=4

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