Exer. 34: Change to exponential form.

Chapter 5, Problem 3

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QUESTION:

Change to exponential form:

 (a).

(b).

(c).

(d).

(e).

(f).

Questions & Answers

QUESTION:

Change to exponential form:

 (a).

(b).

(c).

(d).

(e).

(f).

ANSWER:

Step 1 of 6

Let be a positive real number different from 1. The logarithm of with base  is defined as

if and only if for every and every real number .

The form is called the exponential form of the corresponding logarithmic form .

(a) Given logarithmic form is . Here, the logarithm of 32 with the base 2 is 5. Therefore, the exponential form is

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