Question

6^2x+1÷36=216 find the value of x

Answer 1

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Here is your answer...✌

${6}^{2x + 1} \div 36 = 216 \\ \\ {6}^{2x + 1} = 216 \times 36 \\ \\ {6}^{2x +1 } = {6}^{3} \times {6}^{2} \\ \\ {6}^{2x + 1} = {6}^{5} \\ \\ equating \: th e\: power \: of \: 6 \\ we \: get \\ \\ 2x + 1 = 5 \\ \\ 2x = 5 - 1 \\ \\ 2x = 4 \\ \\ x = 2$

Answer 2

Answer:

$$\begin{lgathered}{6}^{2x + 1} \div 36 = 216 \\ \\ {6}^{2x + 1} = 216 \times 36 \\ \\ {6}^{2x +1 } = {6}^{3} \times {6}^{2} \\ \\ {6}^{2x + 1} = {6}^{5} \\ \\ equating \: th e\: power \: of \: 6 \\ we \: get \\ \\ 2x + 1 = 5 \\ \\ 2x = 5 - 1 \\ \\ 2x = 4 \\ \\ x = 2\end{lgathered}$$