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Chapter 10: Q. 10.73 (page 1043)

Rounding to three decimal places, approximatelog342.

Short Answer

Expert verified

By rounding to three decimal places, the approximation of the logarithm is 3.402.

Step by step solution

01

Step 1. Given Information

The given logarithm is log342.

We have to round it to three decimal places and approximate the result.

02

Step 2. Use the Change-of-Base Formula

To evaluate a logarithm with any other base, we can use the Change-of-Base Formula.

The Change-of-base formula is

logaM=logbMlogba.

Thus, we will take 10as b

log342=log1042log103.

03

Step 3. Use the calculator

To find the approximate value of the logarithm use the calculator and enter the expression.

So, we use the log button for base 10 in the calculator.

We get log1042log103鈮�3.402.

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Most popular questions from this chapter

Solve forx:log5x=-3

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