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

Logarithmic and exponential functions — practice question

(main)[4]

Apply logarithms to solve the equation $4^{3x-1} = 3(5^x)$, and give the answer correct to 3 decimal places.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the logarithm law for a product, power or quotient to produce a correct linear equation, e.g. $(3x-1) \ln 4 = \ln 3 + x \ln 5$.

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