Math Problem Statement
Type into log form
(1/4)^(-3) = 64
Solution
We are given the following equation:
To express this equation in logarithmic form, we first simplify the expression:
Now, rewriting this as a logarithmic equation, we use the logarithmic identity:
In this case, , so we express it as:
This is the logarithmic form of the given equation.
Do you need further clarification or details? Here are some related questions for further exploration:
- How would you express in logarithmic form?
- Can you convert into its logarithmic form?
- What happens when you have a negative exponent with a base less than 1?
- How does changing the base affect the logarithmic equation?
- How do you solve logarithmic equations like ?
Tip: When working with logarithms, always remember the base in both exponential and logarithmic forms, as they must remain consistent.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Exponents
Logarithms
Formulas
a^b = c can be written as log_a(c) = b
(1/a)^(-n) = a^n
Theorems
Laws of Exponents
Suitable Grade Level
Grades 8-10