alissa36 alissa36
  • 11-06-2018
  • Mathematics
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Is this problem correct??

Is this problem correct class=

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1rstar
1rstar 1rstar
  • 11-06-2018
Hey there !

Yeah , the problem is absolutely correct , and here is the solution -

[tex]y = {2}^{3x - 1} [/tex]

To find inverse , first switch x and y ,
[tex]x = {2}^{3y - 1} [/tex]

Taking log both sides ,
[tex] log(x) = (3y - 1) log(2) \\ \\ \frac{ log(x) }{ log(2) } = 3y - 1 \\ \\ \: \: y = \frac{ log_{2}(x) }{3} \: \: \: \: \: \: ans.[/tex]

Hope it helps you :)
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