Math Problem Statement
answer only
Use the Change of Base Formula to rewrite the logarithm with the common logarithm or the natural logarithm: log3(80) = ? Use a calculator to evaluate the logarithm. Round to four decimal places.
Solution
The change of base formula is:
Using , we calculate:
Using a calculator:
Thus, .
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Math Problem Analysis
Mathematical Concepts
Logarithms
Change of Base Formula
Common Logarithms
Natural Logarithms
Formulas
Change of Base Formula: log_b(a) = log(a)/log(b) or log_b(a) = ln(a)/ln(b)
Theorems
Change of Base Theorem
Suitable Grade Level
Grades 10-12