Question

Good evening brainliacs.

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$\frac{ {3}^{4} \times {3}^{2x} }{ {3}^{3} } = 1$

Find the value of Mr. x


Mr. x will be happy for your paropkar.


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Answer 1

$\frac{ {3}^{4} \times {3}^{2x} }{ {3}^{3} } = 1 \: \\ \frac{ {3}^{4 + 2x} }{ {3}^{3} } = 1 \\ {3}^{4 + 2x - 3} = 1 \\ {3}^{1 + 2x} = 1 \\ {3}^{2x} \times 3 = 1 \\ {3}^{2x} = \frac{1}{3} \\ {3}^{2x} = {3}^{ - 1} \\ 2x = - 1 \\ x = - \frac{1}{2}$

Answer 2

$\huge {\mathfrak{Answer}}$

First of all cross multiply

$\sf 3^{4}×3^{2x}=3^{3} \\ \\ \sf If\:base\:is\:equal\:you\:can \\\sf remove\:the \:base \:and\:write \\ \sf only\:the\:exponent \\ \\ \sf \implies 4+2x=3 \\ \\ \sf \implies 2x=3-4=-1 \\ \\ \sf \implies x=\dfrac {-1}{2}$

Hence Mr.x=-1/2

❤hope it helps you ❤