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

Logarithmic and exponential functions — practice question

(main)[4]

Solve the equation $2^{3x-4} = \frac{3}{5^x}$. Write your answer in the form $\frac{\ln m}{\ln n}$, where $m$ and $n$ are integers.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the log quotient law, for example $\ln\left(\frac{3}{5^x}\right)=\ln3-\ln5^x$

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