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f(x)+2^(5-8x) what is the inverse

 Apr 8, 2019

Best Answer 

 #1
avatar+18754 
+3

y = 2^(5-8x)     solve for x

 

log y  = log 2   * (5-8x)

log y / log 2 = 5-8x

 

5 - logy/log2 = 8x

5/8 - 1/8 logy/log2 = x   now swithch the x and y's

 

5/8 - 1/8 log x / log 2 = f^-1(x)

5/8 - .41524 log x

 Apr 8, 2019
 #1
avatar+18754 
+3
Best Answer

y = 2^(5-8x)     solve for x

 

log y  = log 2   * (5-8x)

log y / log 2 = 5-8x

 

5 - logy/log2 = 8x

5/8 - 1/8 logy/log2 = x   now swithch the x and y's

 

5/8 - 1/8 log x / log 2 = f^-1(x)

5/8 - .41524 log x

ElectricPavlov Apr 8, 2019

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