Math Problem Statement
Use the properties of logarithms to find the value of the expression.
Let
log Subscript b Baseline Upper A equals 3logbA=3
and
log Subscript b Baseline Upper B equals negative 4logbB=−4.
Find
log Subscript b Baseline RootIndex 4 StartRoot AB EndRootlogb4AB.
Solution
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Math Problem Analysis
Mathematical Concepts
Logarithms
Properties of Logarithms
Radical Expressions
Formulas
Power rule: log_b(x^c) = c log_b(x)
Product rule: log_b(xy) = log_b(x) + log_b(y)
Theorems
Logarithmic Identities
Suitable Grade Level
Grades 10-12
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