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adelina 88 [10]
3 years ago
6

What is the correct inverse function for f(x)=In5x?

Mathematics
2 answers:
telo118 [61]3 years ago
8 0
y = \ln (5x)\\
e^y=5x\\
x=\dfrac{e^y}{5}\\
\boxed{f^{-1}(x)=\dfrac{e^x}{5}}



Mashutka [201]3 years ago
8 0
f(x)=\ln5x\\\\\ln5x=y\\\\e^{\ln5x}=e^y\iff5x=e^y\ \ \ |divide\ both\ sides\ by\ 5\\\\x=\dfrac{e^y}{5}\\\\\boxed{f^{-1}(x)=\dfrac{e^x}{5}}
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vovikov84 [41]
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