Mathematics 68 Online
OpenStudy (anonymous):

x^3/2 -27=0 anyone understand this to find the real solution of the equation

OpenStudy (anonymous):

@Tracy 0505 Take log of the equation. so u would get log x^3/2 = log 27 (I took ova the 27). Then apply rule of log so u get 3/2 log x=log 27. This x = e^(2/3 log 27)

OpenStudy (anonymous):

Thanks I think it helps a little.

OpenStudy (anonymous):

slightly simpler x^3/2 =27 (x^3/3)^2/3)=x=27^2/3 don't need to use logs in this case

OpenStudy (anonymous):

typo - (x^3/2)^2/3)=x=27^2/3

OpenStudy (anonymous):

u take the receipcal and it cancels on the left and the right what do u do with it?

OpenStudy (anonymous):

27 cubed the squared?

OpenStudy (anonymous):

by rules of powers , x^(3/2)^2/3)= x^(3/2*2/3) = x^1=x 27^(2/3) = (cube root) squared

OpenStudy (anonymous):

Thanks so much for your time John.

By the way, @Desha, while the log approach is right, remember that the base of log is, by default, 10. So you either $$x = 10^{\frac{2}{3}\log_{10} 27}$$ Or $$x = e^{\frac{2}{3}\ln 27}$$ Where ln is the natural log, $$log_e$$

Latest Questions
JustKOI: a poem just becauuuse...
2 hours ago 5 Replies 10 Medals
madz2345: random stuff from my sketchbook. rate them :0
32 minutes ago 34 Replies 11 Medals
Fredyy: Do you all im doing better!!!pls sub it helps alot!!! thx
44 minutes ago 16 Replies 6 Medals
Tyrun: What y'all think of these lyrics. its sad rap
2 hours ago 10 Replies 2 Medals
lovelygirl13: i made a rick and morty collage
57 minutes ago 24 Replies 9 Medals
DatBoiAYD: art
15 hours ago 14 Replies 6 Medals
Sharkattack123: Congrats on BLUE DEATHHHHHHHH
2 hours ago 17 Replies 6 Medals