Question

((81*3^x)/(3^2x))=81 find the value of x​

Answer 1

Step-by-step explanation:

81×3^x / 3^2x = 81

3⁴ × 3^x / 3^2x = 3⁴

3^(4 + x) / 3^2x = 3⁴

3^(4 - x) = 3⁴

Comparing both sides,

4 - x = 4

x = 4

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Answer 2

The value of x is 0.

Given,

$\frac{81*3^{x} }{3^{2x} }= 81.$

To Find,

The value of x.

Solution,

⇒ $\frac{81*3^{x} }{3^{2x} }= 81.$

⇒ $\frac{3^{4}*3^{x} }{3^{2x} }=81.$

⇒  $\frac{3^{4}*3^{x} }{3^{2x} }=3^{4} .$

⇒ 3⁴ × 3 ˣ = 3⁴ × 3²ˣ

⇒ $3^{4+x}=3^{4+2x}$

On comparing both we will get the value of x,

⇒ 4 +x = 4+2x

⇒ 2x-x = 4-4

⇒ x = 0.

The value of x is 0.

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