use the properties of log to fin the exact value of the expression without a calculator.
log (sub)8 16 - log (sub)8 2
I got 1 for the answer, is that right?? please help, explain thank you!
2007-07-14 08:47:40 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
yes
use log subtraction property
if 2 logs have the same base then:
log(sub)8 16 - log(sub)8 2 = log(sub)8 16/2
Which is
log (sub)8 8 = 1
2007-07-14 08:50:49 · answer #1 · answered by Andrew 4 · 0⤊ 0⤋
Assume "log" means log to base 8 in the following:-
log 16 - log 2 = log 16/2 = log 8 = 1
2007-07-15 02:43:37 · answer #2 · answered by Como 7 · 0⤊ 0⤋
log (sub)8 16 - log (sub)8 2 is really a division problem and can be rewritten as; log (sub)8 (16 / 2) since they are both sub 8. now the answer is 1 whenever the base (sub 8) and the log are the same. log (sub)8 (8).
2007-07-14 08:52:49 · answer #3 · answered by 037 G 6 · 0⤊ 0⤋
If I read this properly, you mean
Log to the base 8 of 16 minus log to the base 8 of 2.
The definition of a log is "The power to which the base is raised to equal the number in question".
So the first part of the equation Log base 8 of 16 becomes
1 + Log base 8 of 2.
The second part is - Log base 8 of 2
when you add you get
1 + (Log base 8 of 2) - (Log base 8 of 2)
=1
2007-07-14 08:56:32 · answer #4 · answered by Scott W 3 · 0⤊ 0⤋
it comes out to be log *sub* 8 8 and 8^x = 8 x = 1 you're right
2007-07-14 08:50:32 · answer #5 · answered by Anonymous · 0⤊ 0⤋
The log of (b)^a quotient is equ98363a5a2acc8dc81ed812dc1755ecbl to the version of the logs Log 98363a5a2acc8dc81ed812dc1755ecb98363a5a2acc8dc81ed812dc1755ecb/98363a5a2acc8dc81ed812dc1755ecb98363a5a2acc8dc81ed812dc1755ecb = Log 98363a5a2acc8dc81ed812dc1755ecb98363a5a2acc8dc81ed812dc1755ecb98363a5a2acc8dc81ed812dc1755ecb - Log 98363a5a2acc8dc81ed812dc1755ecb98363a5a2acc8dc81ed812dc1755ecb98363a5a2acc8dc81ed812dc1755ecb You c98363a5a2acc8dc81ed812dc1755ecbn 98363a5a2acc8dc81ed812dc1755ecblso shift the coefficient to the exponent of the Log if it enables (b)^a * Log 98363a5a2acc8dc81ed812dc1755ecb98363a5a2acc8dc81ed812dc1755ecb98363a5a2acc8dc81ed812dc1755ecb = Log [98363a5a2acc8dc81ed812dc1755ecb98363a5a2acc8dc81ed812dc1755ecb98363a5a2acc8dc81ed812dc1755ecb98363a5a2acc8dc81ed812dc1755ecb98363a5a2acc8dc81ed812dc1755ecb]
2016-12-14 08:48:08 · answer #6 · answered by ? 4 · 0⤊ 0⤋
log(base 8) 16 - log(base 8) 2 = log(base 8) 16 div 2
= log(base 8) 8
= 1
2007-07-14 08:59:20 · answer #7 · answered by frank 7 · 0⤊ 0⤋
log_8 16 - log_8 2
= log_8 (16/2)
= log_8 (8)
log(base a) (a) = 1
so log_8 (8) = 1
2007-07-14 08:52:49 · answer #8 · answered by 7 · 0⤊ 0⤋
I got 1 also, but you can always use a calculator to check your answer ^_^
2007-07-14 08:54:20 · answer #9 · answered by Do Anything and I Love Ya! 3 · 0⤊ 0⤋