2007-01-12 02:50:14 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
log[base 8](x) = 5
Recall: To convert from logarithmic to exponential form,
log[base b](a) = c is the same as b^c = a
Therefore,
x = 8^5, or
x = 32768
2007-01-12 02:57:56 · answer #1 · answered by Puggy 7 · 1⤊ 0⤋
log_8 (x) means log base 8 of x, so the equation can be restated as "What power must 8 be raised to in order to get 5", or 8^x = 5. As 8 > 5, the answer will have to be less than one. If you have a table of decimal logarithms or a calculator that does log_10, you can note that:
8^x = 5
log_10(8^x) = log_10(5)
x log_10(8) = log_10(5)
which you can solve straightforwardly.
2007-01-12 02:58:05 · answer #2 · answered by M-M 2 · 1⤊ 0⤋
x = 8 ^ 5
2007-01-12 03:33:57 · answer #3 · answered by Alavalathi 3 · 0⤊ 0⤋
log (base 8) x = 5
This means that 8^5=x
so x = 32,768
log (base 10) 100 = 2 because 10^2=100
2007-01-12 03:08:12 · answer #4 · answered by ironduke8159 7 · 1⤊ 0⤋
x = 8^5. Raise the base to the rhs to get the value of x.
2007-01-12 04:24:26 · answer #5 · answered by steiner1745 7 · 0⤊ 0⤋
8^5=x
x= 32768
2007-01-12 02:53:31 · answer #6 · answered by runlolarun 4 · 2⤊ 1⤋
(1/log_8)log_8x=5(1/log_8)
x= 5/log_8
2007-01-12 02:55:00 · answer #7 · answered by jewells_40 4 · 2⤊ 2⤋
i assume you mean log base 8 of x = 5
note that log base a of b = log base c of b / log base c of a
so that log base 8 of x = log base 10 of x / log base 10 of 8
ie..
log x / log 8 = 5
log x = 5 log 8
x = 10^ (5log8)
use your calculator
2007-01-12 02:55:19 · answer #8 · answered by Dr W 7 · 0⤊ 2⤋
.42
2007-01-12 03:20:40 · answer #9 · answered by Anonymous · 1⤊ 1⤋
You used yahoo answers to get your homework done? That's a good one, matey. LOL!
2007-01-12 02:51:55 · answer #10 · answered by Kent Ishii 2 · 0⤊ 3⤋