Question

If 6 to the power 2 x - 1 / 36 is equal to 1296 find the value of x

Answer 1

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Here is your answer

$\frac{ {6}^{2x - 1} }{36} = 1296 \\ {6}^{2x - 1} = 36 \times 1296 \\ {6}^{2x - 1} = {6}^{2} \times {6}^{4} \\ {6}^{2x - 1} = {6}^{2 + 4} \\ as \: same \: base \: so \: same \: power \\ 2x - 1 = 2 + 4 \\ 2x = 6 + 1 \\ x = \frac{7}{2}$

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Answer 2

answer: Here is your answer