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Unit 1Topic 1.10Question BankHL

Mathematics: Applications and Interpretation · Unit 1: Number and Algebra

Expressions with rational exponents

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2

Questions

12

Total marks

Question 1 of 27 marks

Logarithmic and exponential equations

[Maximum mark: 7]Calculator not permittedSolve the equations(a) 42x−1=8x+44^{2x-1}=8^{x+4}[2](b) (19)4x+1=27x+3\left(\frac{1}{9}\right)^{4x+1}=27^{x+3}[2](c) 25x+2=5x−125^{x+2}=\sqrt{5^{x-1}}[3]

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