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

Question

anonymous · Answer

@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)

anonymous · Answer

Thanks I think it helps a little.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

27 cubed the squared?

anonymous · Answer

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

anonymous · Answer

Thanks so much for your time John.

shadowfiend · Answer

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, $log_e$