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inverse of y=12^x

 Oct 16, 2017
 #1
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y = 12x       take the log of both sides

 

log y  = log 12x    and we can write

 

log y =  x log 12     divide both sides by log (12)

 

log y / log (12)  = x     exchange x and y

 

log x / log 12  =  y     for y.......write f-1 (x)

 

So

 

f-1(x)  = log x / log 12

 

Here' sthe graph of both the original function and the inverse : https://www.desmos.com/calculator/beo7z7kzbj

 

 

cool cool cool

 Oct 16, 2017
 #2
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for what value of x does 64^3x = 512^ 2x=12

 Oct 16, 2017

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