what log base 8 of 0.001953125?
because i need help please find it
2007-10-28 04:50:46 · 6 answers · asked by star baller 360 5 in Science & Mathematics ➔ Mathematics
log base 8 of 0.001953125 = log 0.001953125 / log 8
= -3
2007-10-28 04:58:49 · answer #1 · answered by Ami 4 · 1⤊ 1⤋
log base 8 x = (log base 10 x ) / (log base 10 8)
so
log base 8 of 0.001953125 = log (0.001953125) / log(8)
= -3
2007-10-28 11:59:50 · answer #2 · answered by PeterT 5 · 1⤊ 1⤋
Hey there!
First convert 0.001953125 into a fraction. The fraction is 1/512.
Now here comes the fun part.
log(base 8)(1/512) -->
log(base 8)(1/8^3) -->
log(base 8)(8^-3) -->
-3*log(base 8)(8) -->
-3*1 -->
-3
So the answer is -3.
Hope it helps!
2007-10-28 11:59:17 · answer #3 · answered by ? 6 · 2⤊ 1⤋
---8^x = 0,001953125
---x log 8 = log 0,001953125
---3x log 2 = log 0,001953125
---3x * 0,3 = - 2,7092
---0,9 x = - 2,7092
---x = -3,0103.
2007-10-28 12:04:13 · answer #4 · answered by Mazopust 7 · 0⤊ 1⤋
I like cheese ?
2007-10-28 11:58:20 · answer #5 · answered by lmndrp44 3 · 0⤊ 2⤋
Thanks but being a learner you need to strive yourself!
2007-10-28 11:58:55 · answer #6 · answered by Sami V 7 · 0⤊ 1⤋