Math, asked by shrushti20, 1 year ago

find the value of x if
3 ^{2x - 1}  \div 9 = 27
(no stupid answers plzz)​

Answers

Answered by thakurji80
2

Answer:

Hii mate..

your solution

Attachments:
Answered by innocentshivu5227
1

Answer:

The value of x is 3

Step-by-step explanation:

 Q. =  >  \:  \: 3 {}^{2x - 1}  \div 9 = 27 \\  \\  \\

we can write it as ,

 \frac{3 {}^{2x - 1} }{9}  = 27 \\  \\  =  >  \frac{3 {}^{2x - 1} }{ {3}^{2} } = 27 \\  \\  =  > {3}^{2x - 1 - (2)}   = 27  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: ( \frac{x {}^{2} }{x} =x {}^{2 - 1} )  \\  \\  =  > 3 {}^{2x - 3}  =  {3}^{3}  \\  \\  bases \: are \: same \:  \: so \: we \: equate \:  \\ powers \\  \\  =  > 2x - 3 = 3 \\  \\  =  > 2x = 3 +  3 \\  \\  =  > 2x = 6 \\  \\  =  > x =  \frac{6}{2}  \\  \\  =  > x = 3

thus, the value of x is 3.

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