Math Problem Statement
Solution
The image shows a mathematical expression involving logarithms. The expression is written as:
\text{Nilai dari } \, ^2\log 20 + ^2\log 45 - ^2\log 180 - ^2\log 40 \, \text{adalah} \ldots
This seems to be using base-2 logarithms (denoted as ).
We can solve this expression using logarithmic properties:
Step-by-step simplification:
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Use the logarithmic sum property: So:
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**Use
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Math Problem Analysis
Mathematical Concepts
Logarithms
Logarithmic Properties
Algebra
Formulas
log(a) + log(b) = log(a * b)
log(a) - log(b) = log(a / b)
Theorems
Logarithmic Addition and Subtraction
Suitable Grade Level
Grades 9-12
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