Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Participation Activity #10

Given:
[tex]\[
\log_{10}(10,000) = 4
\][/tex]

Write the logarithmic equation in exponential form.

(Note: Do not enter any commas in your answer.)

Sagot :

GinnyAnswer
To convert the logarithmic equation [tex]\( \log_{10}(10000) = 4 \)[/tex] into its exponential form, follow these steps:

1. Identify the base of the logarithm. In this case, the base is 10.
2. Recognize that the logarithmic equation [tex]\( \log_{10}(10000) = 4 \)[/tex] implies that the base raised to the power of the result equals the argument of the logarithm.
3. Write the equivalent exponential form. Using our example, this means raising 10 to the power of 4 to get 10000.

So we rewrite [tex]\( \log_{10}(10000) = 4 \)[/tex] in exponential form as:

[tex]\[ 10^4 = 10000 \][/tex]

Therefore, the exponential form of the equation is:

[tex]\[ 10^4 = 10000 \][/tex]

This shows that raising the base 10 to the power of 4 results in 10000.
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.