Unit 12 · Class 9 IB MYP · Formula Sheet
Logarithms Formulas — Class 9 IB MYP
Define logarithms, apply laws of logarithms, and solve exponential equations.
Key Formulas
Definition
\log_a b = c \iff a^c = b
Product Rule
\log_a(mn) = \log_a m + \log_a n
Quotient Rule
\log_a\left(\dfrac{m}{n}\right) = \log_a m - \log_a n
Power Rule
\log_a(m^n) = n\log_a m
Change of Base
\log_a b = \dfrac{\log_c b}{\log_c a}
Worked Examples
1Using: Application
Apply the key formula from this topic to a sample problem.
Step 1: Identify the formula.
Step 2: Substitute the values.
Step 3: Simplify to get the answer.
Answer: See solution above
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