Math Problem Statement
Apply the power property of logarithms. Assume that all variable expressions represent positive real numbers. log((4t - 3)^4) = ?
Solution
The problem asks to apply the power property of logarithms to the expression:
The power property of logarithms states that:
Applying this property to the expression:
Thus, the answer is:
Let me know if you would like further explanation or have any questions.
Here are five related questions to consider:
- How can you simplify the logarithmic expression ?
- What happens if you apply the power property to a logarithm with a fraction inside?
- How do you simplify using logarithmic properties?
- What is the result of applying the power property to a logarithmic expression with multiple terms?
- How do you combine into a single logarithmic expression?
Tip: Always check if the expression inside the logarithm is positive before simplifying, as logarithms are only defined for positive values.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Power Property of Logarithms
Formulas
log_b(x^n) = n * log_b(x)
Theorems
Power Property of Logarithms
Suitable Grade Level
Grades 9-11