(5x-2)^1/3=2

How do I work his out I have the answer but I don't know how to get it.

Question

(5x-2)^1/3=2

How do I work his out I have the answer but I don't know how to get it.

_malice_ · Answer

What do you have for the answer?

harlequin · Answer

The answer end up being two

alones · Answer

$$(5x-2)^\frac{ 1 }{ 3 }=2$$ 
Like this?

harlequin · Answer

Yep

_malice_ · Answer

Solve for x by simplifying both sides of the equation, then isolating the variable.
right alone bb?

alones · Answer

Oh well yes 2 is  right..let me explain this

alones · Answer

Yes correct malice bb (:<

_malice_ · Answer

;D I AM THE SMERT

alones · Answer

Solve Exponent $$(5x−2)^\frac{ 1 }{ 3 }=2$$
$\ ((5x−2)^\frac{ 1 }{ 3 })^3=2^3$<--Raise both sides to power
$\ 5x−2=8$

_malice_ · Answer

im gonna go, bubai alone bb <3

alones · Answer

Than add those two sides $\ 5x−2+2=8+2$
$\ 5x=10$
and afterall divide both sides by 5
$$\frac{ 5x }{ 5 }=\frac{ 10 }{ 5 }$$
$$\ x=2$$

alones · Answer

@Harlequin Now you understand?

harlequin · Answer

Thank you now I now how to do the rest of the chapter.

alones · Answer

You welcome hun

harlequin · Answer

Yes, I took notes but the instructor didn't go over this part of the lesson so I had no idea what I was doing. The examples in the book didn't go over it either so this helped a lot.