QuestionRewrite the equation in exponential form. $\log _{x}(36)=y$ $\square$ Additional Materials

Studdy Solution

STEP 1

1. We are given a logarithmic equation and need to convert it to its equivalent exponential form.
2. The base of the logarithm is $x$ .
3. The logarithmic equation is of the form $\log_{b}(a) = c$ , which can be rewritten as $b^c = a$ .

STEP 2

1. Identify the components of the logarithmic equation.
2. Convert the logarithmic equation to exponential form.

STEP 3

Identify the components of the logarithmic equation $\log_{x}(36) = y$ .
- Base ( $b$ ) = $x$ - Argument ( $a$ ) = $36$ - Result ( $c$ ) = $y$

STEP 4

Rewrite the logarithmic equation in exponential form using the identified components:
The equation $\log_{x}(36) = y$ can be rewritten as:
$x^y = 36$
The exponential form of the given logarithmic equation is:
$\boxed{x^y = 36}$

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