If 32x-8225 -535x- then x-

Given : nbsp;3^2x 8225 =5^35^x ⇒ nbsp;3^2x 825 × 9 =5^35^x ⇒ 3^2x 8× 5^x = 9 × 5^2 × 5^3 ⇒ 3^2x 8× 5^x =3^2 × 5^5 On comparing both sides , we get 2x 8 ...

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Standard IX

Mathematics

Product Law

If 32x-8225 =...

Question

If $\frac{3^{2 x - 8}}{225} = \frac{5^{3}}{5^{x}}$ , then $x =$

3

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Solution

The correct option is B $5$
Given : $\frac{3^{2 x - 8}}{225} = \frac{5^{3}}{5^{x}}$

$\Rightarrow \frac{3^{2 x - 8}}{25 \times 9} = \frac{5^{3}}{5^{x}}$

$\Rightarrow 3^{2 x - 8} \times 5^{x} = 9 \times 5^{2} \times 5^{3}$

$\Rightarrow 3^{2 x - 8} \times 5^{x} = 3^{2} \times 5^{5}$

On comparing both sides , we get
$2 x - 8 = 2$ and $x = 5$
$\Rightarrow x = 5$
Hence , (c) is correct answer.

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Similar questions

Q. Find the value of x, if

(5^{x - 3}) \times (3^{2 x - 8}) = 225

Q. Find the value of

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5^{x - 3} \times 3^{2 x - 8} = 225

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5^{x - 3} \times 3^{2 x - 8} = 225

If 5^x-3×3^2x-8= 225

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Product Law

Standard IX Mathematics

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If 32x−8225=535x, then x=

The correct option is B 5Given : 32x−8225=535x ⇒32x−825×9=535x ⇒32x−8×5x=9×52×53 ⇒32x−8×5x=32×55 On comparing both sides , we get 2x−8=2 and x=5 ⇒x=5 Hence , (c) is correct answer.

If $\frac{3^{2 x - 8}}{225} = \frac{5^{3}}{5^{x}}$ , then $x =$