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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Changing Bases to Evaluate Logarithms In Exercises 29-34, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9.

log 3 1 2

To determine

To calculate: The value of logarithm log312 with the help of change-of base formula and calculator.

Explanation

Given information:

The provided logarithm is log312.

Formula used:

As with the natural logarithm function, if a and x are positive numbers such that a1 and x1 then as per change-of -base formula,

logax=lnxlna

Calculation:

Consider the logarithm, log312

Apply change-of -base formula,

log312=ln(12)ln3=ln0

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