Solve3x2- 3x-9- 1 -A- 2-1B- 2-2C- 1-1D- 1-2

The correct option is A (2, 1) Given 3^x^2 : 3^x = 9 : 1 ⇒ 3^x^2/3^x = 9/1 ⇒ 3^x^2 = 9 × 3^x ⇒ 3^x^2 = 3^2 × 3^x ⇒ 3^x^2 = 3^2+x Equating the powers x^2 ...

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Byju's Answer

Standard IX

Mathematics

Product Law

Solve3x2: 3x=...

Question

Solve

$3^{x^{2}} : 3^{x} = 9 : 1$ .

0.000506

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Solution

The correct option is A 0.000506
Given

$3^{x^{2}} : 3^{x} = 9 : 1$

$\Rightarrow$ $\frac{3^{x^{2}}}{3^{x}} = \frac{9}{1}$

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

$\Rightarrow$ $3^{x^{2}} = 3^{2} \times 3^{x}$

$\Rightarrow$ $3^{x^{2}} = 3^{2 + x}$

Equating the powers

$x^{2} = 2 + x$

$x^{2} - x - 2 = 0$

Solving this we get

$x = 2, - 1$

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Solve 3x2:3x = 9:1.

The correct option is A 0.000506Given 3x2:3x = 9:1 ⇒ 3x23x = 91 ⇒ 3x2 = 9×3x ⇒ 3x2 = 32×3x ⇒ 3x2 = 32+x Equating the powers x2=2+x x2−x−2=0 Solving this we get x=2,−1

Solve

$3^{x^{2}} : 3^{x} = 9 : 1$ .