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Mathematics 18 Online
OpenStudy (aonz):

@hartnn This is just a question im bit confused with

OpenStudy (aonz):

Simplify \[\huge 5^{x+\log_{5}x }\]

OpenStudy (aonz):

i understand there is the rule how log 5 cancels out right?

OpenStudy (aonz):

but i think the answer would be x^x would it not?

hartnn (hartnn):

first step, use \(\huge a^{b+c}=a^b \times a^c\)

OpenStudy (aonz):

OHHH. Wow you are the best teacher in the WORLD. You seem to know what to explain first :P Thanks :) Answer then is 5^x * x?

hartnn (hartnn):

\(\huge \color {green}\checkmark\)

hartnn (hartnn):

welcome ^_^

OpenStudy (aonz):

im just taking a wild guess but is the a formula that is... \[\huge a^{b/c}=a^b - a^c \]

hartnn (hartnn):

nopes, theres no such formula. \(\huge a^{(b/c)}= \sqrt[c]{a^b}\)

hartnn (hartnn):

a^b-a^c cannot be further simplified.

OpenStudy (aonz):

yep somehow you know thats the exact formula i was looking for :D

hartnn (hartnn):

:)

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