QuestionWrite the logarithmic equation in exponential form. $2=\log _{2} 4$ $\square$ $\square$

Studdy Solution

STEP 1

1. We have a logarithmic equation: $2 = \log_{2} 4$ .
2. We need to convert this logarithmic equation into its equivalent exponential form.

STEP 2

1. Identify the components of the logarithmic equation.
2. Write the exponential form using the identified components.

STEP 3

Identify the components of the logarithmic equation $2 = \log_{2} 4$ . - The base of the logarithm is $2$ . - The logarithm equals $2$ . - The argument of the logarithm is $4$ .

STEP 4

Write the exponential form using the components identified: - The base of the logarithm becomes the base of the exponent. - The result of the logarithm becomes the exponent. - The argument of the logarithm becomes the result of the exponential expression.
Thus, the exponential form is:
$2^2 = 4$
The exponential form of the given logarithmic equation is:
$\boxed{2^2 = 4}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms