Chapter 5: Q. 9 (page 297)

Change the given exponential statement to an equivalent statement involving a logarithm.
$9 = 3^{2}$

Short Answer

Expert verified

The equivalent logarithmic statement of the given exponential statement is $2 = \log_{3} 9$ .

Step by step solution

Step 1. Given information

An exponential equation is given as $9 = 3^{2}$

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 $9 = 3^{2} .$

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

$x = 9, a = 3$ , and $y = 2$

So, the corresponding logarithmic statement is

$2 = \log_{3} 9$

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Change the given exponential statement to an equivalent statement involving a logarithm.
$9 = 3^{2}$

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.
$9 = 3^{2}$