Math Problem Statement
Write the exponential equation in logarithmic form.
8
–
2
=
1
64
log
8
=
–
2
Solution
The given exponential equation is:
To rewrite this in logarithmic form, we can use the relationship between logarithms and exponents. The general form is:
In this case, the base , the exponent , and the result .
So, the logarithmic form of the given equation is:
Would you like further details or explanations? Let me know!
Here are 5 related questions for you:
- What is the relationship between exponential and logarithmic functions?
- How do you solve logarithmic equations?
- What are the properties of logarithms?
- How can you express a fraction like as a power of 8?
- What does mean in terms of exponents?
Tip: When converting from exponential to logarithmic form, remember that the base of the exponential equation becomes the base of the logarithm!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Exponents
Logarithms
Algebra
Formulas
a^b = c ⇔ log_a(c) = b
Theorems
Logarithmic Definition Theorem
Suitable Grade Level
Grades 8-10
Related Recommendation
Convert Exponential Equation 8^2 = 64 to Logarithmic Form
Convert Logarithmic Equation log(1/100,000,000) = -8 to Exponential Form
Logarithmic Equation log2 8 = 3 to Exponential Form
Convert Logarithmic Equation log8(6) = x - 1 to Exponential Form
Converting Between Logarithmic and Exponential Forms: log_8(1/64) = -2 and 3^0 = 1