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Mathematics 18 Online
OpenStudy (anonymous):

log base5 2+2 log base5 x=log base5 (3-x)

OpenStudy (anonymous):

\[\log_{5}2+2\log_{5}x=\log_{5}(3-x) \]

OpenStudy (kc_kennylau):

You could use log_5(2) where we'll understand that you mean \(\log_52\)

OpenStudy (kc_kennylau):

Convert the left hand side into one thing first

OpenStudy (anonymous):

Would they cancel out and I would be left with just x?

OpenStudy (kc_kennylau):

I don't exactly get what you mean by cancel out, but you'd need the log formulas for this: \[\Large\log_na+\log_nb=\log_n(ab)\]\[\Large n\log_ma=\log_ma^n\]

OpenStudy (anonymous):

Okay one sec lemme try to figure it out :)

OpenStudy (kc_kennylau):

okay :)

OpenStudy (anonymous):

Kinda stuck :/

OpenStudy (kc_kennylau):

Using the second formula, \(\Large2\log_5x=?\)

OpenStudy (anonymous):

\[\log_{5}x^2 \] ?

OpenStudy (kc_kennylau):

Yep

OpenStudy (anonymous):

Oh my . I had that written down and I thought it was wrong -_-

OpenStudy (kc_kennylau):

Sorry I have to go now, use http://wolframalpha.com/ to check your answer

OpenStudy (anonymous):

Okay thanks

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