IB Maths AA SL 1.5 Integer Exponents and Logarithms Questions

Practise IB Maths AA SL 1.5 through questions on integer exponents, logarithm laws, base changes and equations from numerical or applied contexts.

Exam points

Apply laws of integer exponents and logarithms to simplify and solve equations.
Calculate unknown exponents or logarithms and interpret results using complete mark-scheme evidence.

[Maximum number: 1]

Calculate the value of each of the following logarithms:

$\quad \log _{2} \frac{1}{16}$ ;

valid approach to find the required logarithm

\begin{aligned} & 2^{x}=\frac{1}{16} \text { OR } 2^{x}=2^{-4} \text { OR } \frac{1}{16}=2^{-4} \text { OR } \log _{2} 1-\log _{2} 16 \\ & \log _{2} \frac{1}{16}=-4 \end{aligned}

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