Math Problem Statement
Evaluate log base 6 of 1.
Solution
The problem in the image is asking to evaluate:
In general, for any logarithm , it asks "to what power must the base be raised to give ?"
In this case:
This expression is asking "to what power must 6 be raised to give 1?"
The answer is , because any non-zero number raised to the power of 0 equals 1:
Therefore:
Would you like more details on logarithmic properties or any related topics? Here are 5 related questions to explore:
- How do you evaluate logarithms with different bases?
- What are the properties of logarithms that can simplify expressions?
- How do logarithms relate to exponential functions?
- What is the change of base formula for logarithms?
- How can logarithms be applied in solving real-world problems?
Tip: Always remember that is 0 for any base .
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Math Problem Analysis
Mathematical Concepts
Logarithms
Exponents
Formulas
log_b(x) = y if and only if b^y = x
Theorems
Logarithm identity: log_b(1) = 0 for any base b > 0
Suitable Grade Level
Grades 9-12