Question 1 of 5inequalities / indices
A Level Pure Mathematics
Logarithms and Exponentials Questions and Answers
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- Paper 1inequalities / indices
Solve the inequality |3^{-3x} - 54| < 27.
- Paper 1indices / simultaneous equations
Solve the simultaneous equations 2^x + 3^y = 5 and 2^{x+2} - 3^{y+1} = 13.
- Paper 1indices / exponential equations
Solve the equation 5^{x-1} + 5^{x-2} = 30.
- Paper 1Exponentials and logarithms
Solve the equation e^{2x} = 4e^{2-x}, giving your answer in exact form.
- Paper 1Exponential equations
Solve the equation 3^{x-1} + 3^{x-2} = 12.
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