If $3^{x + 4} = 27^{x + 6}$ , then $x =$

17

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- 7

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8

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- 8

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Solution

The correct option is B $- 7$
$3^{x + 4} = 27^{x + 6}$

$\Rightarrow 3^{x + 4} = 3^{3 x + 18}$

comparing powers

$x + 4 = 3 x + 18$

$\Rightarrow x = - 7$

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x \neq 0

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x \neq 0

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∣ ∣ ∣ \begin{matrix} 3 x & 7 - 2 & 4 \end{matrix} ∣ ∣ ∣ = ∣ ∣ ∣ \begin{matrix} 8 & 7 6 & 4 \end{matrix} ∣ ∣ ∣

x

Question 17

Identify the pairs which are not of isotopes ?

(a) $_{6}^{12} X,_{6}^{12} Y$ (b) $_{17}^{35} X,_{17}^{37} Y$ (c) $_{6}^{14} X,_{7}^{14} Y$ (d) $_{4}^{8} X,_{5}^{8} Y$

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