The correct option is E 2Given 2^3x+10 = 14^x = 2^ 2x By comparing powers, we get #160; ⇒ 3x+10= 2x #160; ⇒ 5x= 10 x= 2 ...

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Sum of Infinite Terms of a GP

If 23x+10=1...

Question

If $2^{3 x + 10} = {(\frac{1}{4})}^{x}, x =$

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Solution

The correct option is E -2
Given $2^{3 x + 10} = {\frac{1}{4}}^{x} = 2^{- 2 x}$
By comparing powers, we get
$\Rightarrow 3 x + 10 = - 2 x$
$\Rightarrow 5 x = - 10$ $x = - 2$

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Similar questions

\frac{1}{3} (7 - 4 x) - \frac{1}{4} (11 - 5 x) + 1 = x - \frac{1}{2} (3 x - 7)

x =

13 (7 - 4 x) - \frac{1}{4} (11 - 5 x) + 1

= x - \frac{1}{2} (3 x - 7)

x^{2} + \frac{1}{x^{2}} = 102

x - \frac{1}{x}

(2^{3 x + 1} - 10)

If $(2^{3 x - 1} + 10) \div 7 = 6$ , then $x$ is equal to

(a) $- 2$

(b) $0$

(d) $2$

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