What is the inverse function of this equation? #y=6^x+4#

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Answer 1 · 2018-05-09T15:23:21

#f^(-1)(x)=(ln(x-4))/ln(6)#

To find the inverse of #y=6^x+4#, we must express #x# as a function of #y#:

#y=6^x+4#

#y-4=6^x#

Taking natural logarithms of both sides:

#ln(y-4)=xln(6)#

#x=(ln(y-4))/ln(6)#

Substituting #y=x#

#y=(ln(x-4))/ln(6)#

#:.#

#f^(-1)(x)=(ln(x-4))/ln(6)#