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Mathematics 15 Online
OpenStudy (anonymous):

solve;6^4x=6^9

OpenStudy (anonymous):

4x=9, x=9/4

OpenStudy (anonymous):

how you get this

OpenStudy (anonymous):

simply, divide both sides of the equation by 6^4

OpenStudy (anonymous):

then you shoud have: x=6^9 ---- 6^4

OpenStudy (anonymous):

which by the rule of exponentes: a^n/a^m=a^n-m, is x=6^5

OpenStudy (anonymous):

two powers with same base have the same ^? too.

OpenStudy (anonymous):

which is then: x=7776

OpenStudy (anonymous):

it is not 6/5 because it is not 6^4x=6^9 but 6^(4x)=6^9

OpenStudy (anonymous):

oh, well, i mean there weren't any parentheses, so it could be interpreted any way

OpenStudy (anonymous):

ok i understand the rule of exponents but how can it be 7776

OpenStudy (anonymous):

well, what is the problem? is it like this 6^4*x=6^9 or is it 6^(4x)=6^9?

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