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Mathematics 19 Online
OpenStudy (study_buddy99):

log help?

OpenStudy (study_buddy99):

\[\log_x4=\frac{ 2 }{ 3 }\]

OpenStudy (study_buddy99):

so I can get to the point of making it: \[x^\frac{ 2 }{ 3 }=4\] but I'm kind of confused what happens after that

OpenStudy (anonymous):

hint... \[x^{\frac{1}{2}2} = x\]

OpenStudy (anonymous):

And its ok to raise both sides of the equation to same power.

OpenStudy (study_buddy99):

so 4 would turn into 16?

OpenStudy (anonymous):

yep, if you square it, but you don't want to square it.

OpenStudy (study_buddy99):

how do I raise stuff to the 1/2 then?

OpenStudy (anonymous):

nope, need to raise it to a power to change \[x^{2/3} ---> x\]

OpenStudy (study_buddy99):

I meant 2/3...oops

OpenStudy (anonymous):

3/2

OpenStudy (anonymous):

\[4^{3/2} = \sqrt{4^3}\]

OpenStudy (anonymous):

you can also notice \[2*2=4\] to help simplify

OpenStudy (study_buddy99):

oh I see so...64?

OpenStudy (study_buddy99):

square rooted would be 8

OpenStudy (anonymous):

yep.

OpenStudy (study_buddy99):

so then the final answer would be 8

OpenStudy (anonymous):

\[((2^2)^{1/2})^3=2^3=8\]

OpenStudy (anonymous):

yep, x=8

OpenStudy (study_buddy99):

I see, that's not too bad :)

OpenStudy (anonymous):

:)

OpenStudy (study_buddy99):

thank you

OpenStudy (anonymous):

np

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