Math, asked by tutejayaksh1978, 1 year ago

3^(x)+3^(x+2)+3^(x-2)=819

Anonymous: x = 4

tutejayaksh1978: but how

Anonymous: Is this answer right

Anonymous: wait i will explain u

tutejayaksh1978: how you solve it

tutejayaksh1978: your answer is coorect

Anonymous: see my solution.

Answers

Answered by Anonymous

$hi \: mate \\ \\ \\ 3 {}^{x} + 3 {}^{x + 2} + 3 {}^{x - 2} = 819 \\ \\ 3 {}^{x} + 3 {}^{x} \: 3 {}^{2} + 3 {}^{x} \: \: 3 {}^{ - 2} = 819 \\ \\ 3 {}^{x} (1 + 3 {}^{2} + 3 {}^{ - 2} ) = 819 \\ \\ 3 {}^{x} (91 \div 3 {}^{2} ) = 819 \\ \\ 3 {}^{x - 2} = 819 \div 91 \\ \\ 3 {}^{x - 2} = 3 {}^{2} \\ \\ \\ now \: compair \: powers \: of \: 3 \\ \\ x - 2 = 2 \\ \\ x = 4 \\ \\ \\ \\ have \: a \: nyc \: tym$

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