Math Problem Statement
Write the log equation as an exponential equation. You do not need to solve for x. log8(6) = x - 1
Solution
To convert the given logarithmic equation into an exponential form, you need to apply the definition of logarithms. Recall that:
In this case, the base , the argument , and the logarithmic result .
Thus, the exponential form of the equation will be:
Would you like further details or have any questions about this transformation?
Here are some related questions to consider:
- How would you solve for if required in this exponential equation?
- What is the relationship between logarithms and exponents?
- How does the base of a logarithm affect the corresponding exponential equation?
- Can this exponential equation be graphed, and how would it look?
- What are common properties of logarithms that can be useful in rewriting or simplifying equations?
Tip: When converting logarithmic equations to exponential form, remember that the base of the logarithm becomes the base of the exponent.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Logarithms
Exponential Functions
Formulas
log_b(a) = c is equivalent to b^c = a
Theorems
Logarithmic-Exponential Relationship
Suitable Grade Level
Grades 9-12