https://file.aiquickdraw.com/mathbot/file/1727664814953cq3svaaj.jpg

To solve the given problem without using a calculator, we need to find the logarithm base 10 of 100,000, which is expressed as:

\[
\log_{10} 100,000
\]

We can express 100,000 as a power of 10:

\[
100,000 = 10^5
\]

Using the logarithmic property:

\[
\log_{10} (10^5) = 5
\]

Therefore:

\[
\log_{10} 100,000 = 5
\]

Would you like further clarification on any part of this solution?

Here are some related questions you might find helpful:
1. What are the properties of logarithms?
2. How can logarithms be used to solve exponential equations?
3. What is the general relationship between exponents and logarithms?
4. How do natural logarithms (\(\log_e\) or \(\ln\)) compare to base 10 logarithms?
5. How can you simplify logarithmic expressions?

**Tip**: When dealing with logarithms of large numbers, express the number as a power of 10 if possible—it simplifies the computation greatly!

Without using a calculator, find the logarithm base 10 of 100,000.

Learn how to solve for the logarithm base 10 of 100,000 without a calculator by expressing the number as a power of 10. This step-by-step guide covers logarithmic rules and is suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation