IB Maths AA SL 1.5 Integer exponents and logarithms Question Bank

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

Rewrite powers and logarithms by matching bases and applying the correct laws in standard AA SL questions.
Solve an exponential or logarithmic equation, then check the domain and interpret the numerical solution.
Move between exponential and logarithmic forms and verify the answer by substitution or numerical evaluation.

[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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