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Mathematics 13 Online
OpenStudy (anonymous):

log64^8

OpenStudy (anonymous):

\[\log _{64}8\]

OpenStudy (anonymous):

so 8*2= 64

OpenStudy (anonymous):

so its =-2 @JakeV8

OpenStudy (anonymous):

why -2? Why not 2?

OpenStudy (anonymous):

oh, wait... I read it backwards at first.

OpenStudy (anonymous):

What exponent would you have to raise 64 to get 8?

OpenStudy (anonymous):

2

OpenStudy (anonymous):

no, that would be 64 squared... 64^2 = 4096

OpenStudy (anonymous):

oh im so lost

OpenStudy (anonymous):

0

OpenStudy (anonymous):

You were on the right track. 8 is the square root of 64, right? Have you ever seen a square root expressed as an exponent?

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

\[\sqrt{64} = 64^{\frac{ 1 }{ 2 } }\]

OpenStudy (anonymous):

The answer to \[\log _{64}8\] is the exponent that you would have to raise 64 to to get 8.

OpenStudy (anonymous):

oh how did you 1/2

OpenStudy (anonymous):

I have to refer to the log definition all the time... here it is again: \[y = b ^{x} <------> \log _{b}y = x\]

OpenStudy (anonymous):

I didn't understand your last comment... was it "how did I get 1/2 ?"

OpenStudy (anonymous):

or wrap this math around my head. lol

OpenStudy (anonymous):

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