Question

if 3 to the power 2x+1 ÷ 9 = 27, the find the value of
of the x​

Answer 1

Answer:

$x = 3$

Step-by-step explanation:

ATQ

${3}^{2x + 1} \div 9 = 27 \\ {3}^{2x + 1} = 27 \times 9 \\ {3}^{2x + 1} = {3}^{3} \times {3}^{2} = {3}^{5} \\ {3}^{2x + 1} = {3}^{5} \\ so \: 3 \: and \: 3 \: cancel \\ 2x + 1 = 5 \\ 2x = 5 + 1 = 6 \\ x = \frac{6}{2} = 3$

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