How do you solve this!? log (base)8 square root of 512 =?

0 ⤊

How do you solve this!? log (base)8 square root of 512 =?

Could you pls. show me how to solve this...

log (base) 8 square root of 512 =

8 ^ x = square root of 512

what's the next step?

Is it

8 ^ x = 512 ^ 1/2 (?)

Pls. help. Thanks.

2006-12-03 14:36:29 · 3 answers · asked by mshealerless 3 in Science & Mathematics ➔ Mathematics

3 answers

log8( 512^1/2)
=1/2 log8(512)
=1.5

2006-12-03 14:45:13 · answer #1 · answered by M. Abuhelwa 5 · 0⤊ 0⤋

Correct, that is the next step.

Then you have to factor 512 into a power of 8 (hint: it's 3)

2006-12-03 22:38:48 · answer #2 · answered by AibohphobiA 4 · 0⤊ 0⤋

8^x = sqrt(512)
8^x = 512^(1/2)
(2^3)^x = (2^9)^(1/2)
2^(3x) = 2^(9/2)
3x = (9/2)
x = (9/6)
x = (3/2)

2006-12-03 23:05:22 · answer #3 · answered by Sherman81 6 · 0⤊ 0⤋