## anonymous 5 years ago PLEASSSEEEE help 1/2log(low8)x=3log(low8)3

1. anonymous

kk hold on a second,

2. anonymous

so ur trying to solve for x?

3. anonymous

yes!!!!

4. anonymous

mk, the answer is pretty simple(if im doing this correctly) give me a min to write it out in equation form

5. anonymous

$1/2 \log_{8} x = 3\log_{8} 3$ whic$x = \sqrt{9}$h becomes $\log_{8} \sqrt{x} = \log_{8} 3^{3}$ since any value to the exponent 1/2 is a square root. now drop the log 8 and it gives you $\sqrt{x} = 9$ where $x = \sqrt{9}$ therefore, x = 3

6. anonymous

wow my whole message got fluttered up. hold on

7. anonymous

k well im not gonna rewrite it ignore the square root 9 at the top. what u need ot grasp is by following logarithm rules, you know that the values in front of the logaritms become exponent of values after log. therefore x ^ 1/2 is simply square root of x and on the other side 3^3 is 9. actually i think i made a mistake, when u get rid of the sqrt root u square both sides, so x is actually equal to 9^2, which is 81.

8. anonymous

hope it helps.

9. anonymous

10. anonymous

oh pellet... flutter dude 3^3 is 27 MY BAD! so 27 ^2 is 729!!!

11. anonymous

so it was the right way to do it i just did 3^3 wrong :(...im sorry!