SOLUTION: inverse of y=log3(4x)

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Question 941626: inverse of y=log3(4x)
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

+y=log%283%2C4x%29...to find inverse, swap x and y

x=log%283%2C4y%29....solve for y
x=log%284y%29%2Flog%283%29
x+%2Alog%283%29+=+log%284y%29
log%283%5Ex%29+=+log%284+%29%2Blog%28y%29
log%283%5Ex%29+-+log%284+%29=log%28y%29
log%283%5Ex%2F4+%29=log%28y%29
=> 3%5Ex%2F4+=y
so, inverse of +y=log%283%2C4x%29 is y=3%5Ex%2F4+

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2Cx%2C+log%283%2C4x%29%2C+3%5Ex%2F4%29+

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
inverse of y=log3(4x)
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1st:: Interchange x and y to get::
x = log3(4y)
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2nd: Solve for "y"::
4y = 3^x
y = (1/4)*3^x
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Cheers,
Stan H.
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