Mathematics 9709 · AS & A Level · Logarithmic and exponential functions

Logarithmic and exponential functions — practice question

(a)[2]

Solve the inequality $4^x < 0.05$ by using logarithms. Present your answer in the form $x < a$, with $a$ correct to 3 significant figures.

(b)[3]

Solve for $x$ in the inequality $|3x + 8| < 9$.

(c)[1]

Therefore state the integers that satisfy both inequalities in parts (a) and (b).

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Take logarithms of both sides and use the appropriate logarithm law

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