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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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Checkpoint 8 Worked-out solution available at LarsonAppliedCalculus.com

Evaluate each logarithm without using a calculator.

a. log 2 16

b. log 10 1 100

c. log 2 1 32

d. log 5 125

(a)

To determine

To calculate: The value of logarithm log216 without using calculator.

Explanation

Given information:

The provided logarithm is log216.

Formula used:

As with the natural logarithm function, if a is a positive number such that a1 then the corresponding logarithm to the base a is defined by

logax=b

If x=ab

The following logarithmic formula is used:

logab=bloga

Where, a is any positive real number and b is any real number

(b)

To determine

To calculate: The value of logarithm log101100 without using calculator.

(c)

To determine

To calculate: The value of logarithm log2132 without using calculator.

(d)

To determine

To calculate: The value of logarithm of log5125 without using calculator.

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