If 35x- 812- 6561-32x-37- then x - 1-3-1-3-33

The correct option is C 3 3^5x× 81^2× 6561/3^2x=3^7, ⇒ 3^5x× 81^2× 6561 = 3^7× 3^2x ⇒3^5x/3^2x= 3^7/3^8× 3^8 = 3^7 8 8= 3^ 9 ⇒ 3^3x=3^ 9 Comparing, ∴ 3x = ...

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Byju's Answer

Standard IX

Mathematics

Laws of Exponents for Real Numbers

If 35x× 812× ...

Question

If $\frac{3^{5 x} \times 81^{2} \times 6561}{3^{2 x}} = 3^{7}, t h e n x =$

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-3

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$\frac{1}{3}$

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$- \frac{1}{3}$

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Solution

The correct option is B
-3

$\frac{3^{5 x} \times 81^{2} \times 6561}{3^{2 x}} = 3^{7}, \Rightarrow 3^{5 x} \times 81^{2} \times 6561 = 3^{7} \times 3^{2 x} \Rightarrow \frac{3^{5 x}}{3^{2 x}} = \frac{3^{7}}{3^{8} \times 3^{8}} = 3^{7 - 8 - 8} = 3^{- 9} \Rightarrow 3^{3 x} = 3^{- 9} C o m p a r i n g, ∴ 3 x = - 9 \Rightarrow x = \frac{- 9}{3} = - 3 ∴ x = - 3$

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Similar questions

Q. If

\frac{3^{5 x} \times 81^{2} \times 6561}{3^{2 x}} = 3^{7}

, then x =

(a) 3

(b) −3

(c)

\frac{1}{3}

(d)

- \frac{1}{3}

Q. If

3^{x} = 6561,

then

3^{x - 3}

is ?

Q. Solve for x and y:

\frac{35}{x + y} + \frac{14}{x - y} = 19, \frac{14}{x + y} + \frac{35}{x - y} = 37

2^{x} + 3^{x + 4} = 7^{x}, then x

Q. Question 3
5x + 9 = 5 + 3x

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If 35x×812×656132x=37,thenx=

The correct option is B -3 35x×812×656132x=37,⇒35x×812×6561=37×32x⇒35x32x=3738×38=37−8−8=3−9⇒33x=3−9Comparing,∴3x=−9⇒x=−93=−3∴x=−3

If $\frac{3^{5 x} \times 81^{2} \times 6561}{3^{2 x}} = 3^{7}, t h e n x =$