Math Problem Statement
Find the cube root of log 9.
Solution
The equation in the image appears to be:
This represents the cube root of the logarithm of 9. To solve this, we will assume the logarithm is in base 10 unless specified otherwise.
Steps:
-
Find : Using base 10 logarithms:
-
Take the cube root: Now, calculate the cube root of this result:
Thus, the value of .
Would you like more details on logarithms, or do you have any questions?
Here are 5 related questions:
- What are logarithmic properties that simplify expressions like ?
- How would the result change if the logarithm was in a different base, such as base 2?
- What are the methods to calculate cube roots without a calculator?
- How does the logarithm of a product (e.g., ) work in this context?
- How can you approximate logarithms manually?
Tip: Understanding logarithmic properties like the change of base rule can help solve a variety of logarithmic expressions quickly.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Logarithms
Cube Roots
Formulas
log_b(x) = y, where b^y = x
Cube Root: \( \sqrt[3]{x} \)
Theorems
Properties of Logarithms
Cube Root Theorem
Suitable Grade Level
Grades 9-12