What is the inverse of #y= - log_5 (-x)# ?

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What is the inverse of #y= - log_5 (-x)# ?

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Answer 1 · 2015-12-01T11:32:11

#f^-1=-5^-x#

Explanation:

#y=-log_5(-x)#
Multiplying both side with the same number:
#=>-1*y=-1*-log_5(-x)#
#=>log_5(-x)=-y#
#=>5^(log_5(-x))=5^-y# (it is a rule of logarithm)
#=>-x=5^-y#
Multiplying both side with the same number:
#=>-1*-x=-1*5^-y#
#=>x=-5^-y#
#=>f^-1=-5^-x#

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What is the inverse of #y= - log_5 (-x)# ?

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