Math Problem Statement
Solution
The question in the image is asking:
"In 3^50, 4^40, 5^30, and 6^20, which number is the largest?"
Approach to solving:
We need to compare the values of . A direct computation can help, but instead of manually calculating these large numbers, we can compare their logarithmic values to make it easier.
We use logarithms to compare powers:
Thus, we'll calculate:
We'll then compare these values to determine the largest one.
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Math Problem Analysis
Mathematical Concepts
Exponentiation
Logarithms
Comparative Analysis
Formulas
log(a^b) = b * log(a)
Theorems
Logarithmic Properties for Comparison of Exponents
Suitable Grade Level
Grades 9-12
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