(i)[3]
Show that the expression simplifies to $16x^3 - 24x^2 - 15x - 2 = 0$.
(ii)[4]
Use the factor theorem first, and then factorise $16x^3 - 24x^2 - 15x - 2$ fully.
(iii)[1]
Hence solve for $x$ in the equation $2\ln(4x - 5) + \ln(x + 1) = 3\ln 3$.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
You are told that $2\ln(4x - 5) + \ln(x + 1) = 3\ln 3$.
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This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the logarithm law for a product, quotient or exponentiation, and the rule for a power” …
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