Solve- 3x-1- 52y-3 - 225

3^x 1× 5^2y 3 = 225 3^x 1× 5^2y 3 = 9 × 25 3^x 1× 5^2y 3 =3^2× 5^2 x 1 = 2 x = 3 2y 3 = 2 2y = 5 y = 5/2 ...

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Standard IX

Mathematics

Normal Form to Standard Form

Solve: 3x-1× ...

Question

Solve: $3^{x - 1} \times 5^{2 y - 3} = 225$

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Solution

$3^{x - 1} \times 5^{2 y - 3} = 225 3^{x - 1} \times 5^{2 y - 3} = 9 \times 25 3^{x - 1} \times 5^{2 y - 3} = 3^{2} \times 5^{2} x - 1 = 2 x = 3 2 y - 3 = 2 2 y = 5 y = \frac{5}{2}$

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Solve: 3x−1×52y−3=225

3x−1×52y−3=2253x−1×52y−3=9×253x−1×52y−3=32×52x−1=2x=32y−3=22y=5y=52

Solve: $3^{x - 1} \times 5^{2 y - 3} = 225$

$3^{x - 1} \times 5^{2 y - 3} = 225 3^{x - 1} \times 5^{2 y - 3} = 9 \times 25 3^{x - 1} \times 5^{2 y - 3} = 3^{2} \times 5^{2} x - 1 = 2 x = 3 2 y - 3 = 2 2 y = 5 y = \frac{5}{2}$