A-level Maths · Exponentials and logarithms

Exact solutions with logarithms

Solve e^(ax + b) = c and give x in exact form using ln.

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Question 1

Solve the equation e1−2x=33e^{1 - 2x} = 33. Give your answer in exact form.

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Give an exact answer, with no decimals, using ln, π and roots: for example 2√3, ln 5 / 2, 3π/4 or (ln 7 - 1)/2.

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