Chapter 10: Q. 145E (page 1033)

In the following exercises, convert each logarithmic equation to exponential form.
$5 = \log_{x} 32$

Short Answer

Expert verified

$x^{5} = 32$

Step by step solution

Step 1. Given Information

$5 = \log_{x} 32$

Step 2. Calculation

The logarithmic form $y = \log_{a} x$

is equivalent to exponential form $x = a^{y}$ .

Comparing $5 = \log_{x} 32$

with standard form $y = \log_{a} x$ , you have

$y = 5, a = x, x = 32$

Convert logarithmic form in exponential form as shown below:

$x = a^{y} 32 = x^{5} x^{5} = 32$

Therefore, if $5 = \log_{x} 32$

role="math" localid="1644943653226" $then x^{5} = 32 .$

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In the following exercises, convert each logarithmic equation to exponential form.
$5 = \log_{x} 32$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

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In the following exercises, convert each logarithmic equation to exponential form.5=logx32

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

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Discrete Mathematics

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In the following exercises, convert each logarithmic equation to exponential form.
$5 = \log_{x} 32$