$$\(\quad 3^{2 x-1}=\frac{1}{9^{x}} \times 3^{2 y-x}\)$$ Find an expression for $$\(y\)$$ in terms of $$\(x\)$$. $$\[ y=............................... \]$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_s21_qp_42 Year:2021 Question No:3(e)

Answer:

\([y=] \frac{5 x-1}{2}\) oe final answer

Knowledge points:

E2.1.1 Use letters to express generalised numbers and express basic arithmetic processes algebraically.
E2.1.2 Substitute numbers for words and letters in complicated formulae.
E2.1.3 Construct and rearrange complicated formulae and equations. (e.g. rearrange formulae where the subject appears twice.)
E2.4.1 Use and interpret positive, negative and zero indices.
E2.4.2 Use and interpret fractional indices.
E2.4.3 Use the rules of indices.

Solution:

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