Question

If 62x+1 /36 = 216, find the value of x.​

Answer 1

Step-by-step explanation:

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

Answer 2

125.403

Step-by-step explanation:

62x+1/36=126

62x+1=126.36

62x+1=7776

62x=7776-1

62x=7775

x=7775/62

x=125.403