To solve the equation \(10^x = 100000\), we can express \(100000\) as a power of \(10\). 

First, note that:

\[
100000 = 10^5
\]

Now we can rewrite the equation:

\[
10^x = 10^5
\]

Since the bases are the same, we can set the exponents equal to each other:

\[
x = 5
\]

Thus, the solution is:

\[
x = 5
\]

Would you like more details on how to solve exponential equations or do you have any questions? Here are some related questions you might find interesting:

1. What are other methods to solve exponential equations?
2. How do logarithms relate to solving equations like this?
3. Can you provide more examples of exponential equations?
4. What would the solution look like if the equation were \(10^{2x} = 100000\)?
5. How would you graph the function \(y = 10^x\) and its relation to the equation? 

Tip: Always check your solution by substituting it back into the original equation!

Discover how to solve the exponential equation 10^x = 100000 by expressing 100000 as a power of 10. This guide covers key concepts in algebra and exponential equations, suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation