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Mathematics 18 Online
OpenStudy (anonymous):

How do you solve exponential equations with unequal bases?

OpenStudy (anonymous):

@hartnn

hartnn (hartnn):

like \( a^b \times a^c =d\) ?? any particular example ?

OpenStudy (anonymous):

No, just in general ;)

hartnn (hartnn):

\(\large a^b \times a^c = a^{b+c}\)

hartnn (hartnn):

a^{b+c}=d take log on both sides, (b+c) ln a = ln d

OpenStudy (anonymous):

what do you mean by "take log on both sides"?

hartnn (hartnn):

if a= b, log a =log b

OpenStudy (anonymous):

which should I say though.....I'm so confused

OpenStudy (anonymous):

\[a^b * a^c =6^b+c\]

hartnn (hartnn):

too general to answer :\ can i have a specific example ?

OpenStudy (anonymous):

I wish I had one, but it didn't come with anything in particular

hartnn (hartnn):

\(\large a^b * a^c =6^{b+c} \\ \large a^{b+c}=6^{b+c} \implies a=6\)

OpenStudy (anonymous):

thank you!!!!!!!!!!!!!!! should i just use an example of my own to explain it to the professor?

hartnn (hartnn):

yes, you can make your own example...if you want i would verify it...

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