Chapter 5: Q. 10 (page 297)

Change the given exponential statement to an equivalent statement involving a logarithm.
$16 = 4^{2}$

Short Answer

Expert verified

The equivalent logarithmic statement of the given exponential statement is $2 = \log_{4} (16)$

Step by step solution

Step 1. Given information

An exponential equation is given as $16 = 4^{2}$

Step 2. Formula

The exponential statement $x = a^{y}$ can be changed into a logarithmic function as $y = \log_{a} (x)$

Step 3. Simplification

The exponential statement is $16 = 4^{2}$ .

Compare statement with $x = a^{y}$ .

role="math" localid="1646307496534" $x = 16, a = 4$ , and $y = 2$

So, the corresponding logarithmic statement is

role="math" localid="1646307466964" $2 = \log_{4} (16)$

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Change the given exponential statement to an equivalent statement involving a logarithm.
$16 = 4^{2}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Formula

Step 3. Simplification

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Change the given exponential statement to an equivalent statement involving a logarithm.16=42

Short Answer

Step by step solution

Step 1. Given information

Step 2. Formula

Step 3. Simplification

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Most popular questions from this chapter

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Change the given exponential statement to an equivalent statement involving a logarithm.
$16 = 4^{2}$