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Chapter 5: Q 31. (page 298)

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

log1010

Short Answer

Expert verified

The exact value of the logarithm is 12.

Step by step solution

01

Step 1. Given information

A logarithmic function is given aslog1010.

02

Step 2. Formula Used

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

03

Step 3. Finding Value of the logarithm

Consider log1010=x

By changing rule of logarithm to exponential function,

10x=1010x=1012x=12log1010=12

The required value is,

log1010=12

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Most popular questions from this chapter

solve each equation. Verify your results using a graphing utility.

4x2x2=162

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Solve given equation and verify your result using graphing utility.

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solve each equation

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