without graphing or calcu;ator
2007-06-17 14:24:52 · 4 answers · asked by Russel 1 in Science & Mathematics ➔ Mathematics
Assume logs are to base 10
log c + log t = 2
log (ct) = 2
ct = 10²
c = 100 / t
2007-06-17 23:26:34 · answer #1 · answered by Como 7 · 0⤊ 0⤋
log c + log t = log 100
ct = 100
c = t/100
you have to change 2 to the log that is in the left part of the equation so you can multiply everything
log law
log (a) x + log (a) y = log (a) z
log to the base a of x plus log to the base a of y equals log to the base a of z
so the ones in the left both have base 10 so the log value to make 2 to the base of 10 is a 100
2007-06-17 21:30:13 · answer #2 · answered by Anonymous · 0⤊ 1⤋
qwdewfw
2014-07-20 21:14:27 · answer #3 · answered by Anonymous · 0⤊ 0⤋
log c= 2-log t
so c= (base of log)^(2-log t)
if base is 10 then this is 100/10^(log t)=100/t
another way is log(c)+log(t)=2 so log(c*t)=2 --> log(c*t)=2 so c*t=(base)^2 --> c=(base)^2/t or 100/t
2007-06-17 21:32:05 · answer #4 · answered by jsos88 2 · 0⤊ 0⤋