if possible show me how u got ya answer and if u get the time can u work this other equation: The numbers are reciprocals if their product is equal to 1. if x and y are reciprocal and x>1, then y must be
2006-10-11 13:57:06 · 3 answers · asked by Rightous Version 2 in Science & Mathematics ➔ Mathematics
log2 24-log2 3= log2 (24/3) = log2 (8)=3.
So log5 x=3 thus x=5^3=125.
2006-10-11 14:00:35 · answer #1 · answered by thierryinho 2 · 0⤊ 0⤋
log2 24 - log2 3 = log5 x
Since 24 and 3 have the same log base of 2, we can combine them.
log2 (24/3) = log5 x
log2 8 = log5 x
We know that 8 is actually 2 to the power of 3, or rather 8 = 2^3.
Thus,
log2 2^3 = log5 x
3 = log5 x
x = 5^3
x = 125
NOTE: Remember that logx x is always 1. Thus 3log2 2 is 3(1).
2006-10-11 16:31:20 · answer #2 · answered by xxmizuraxx 2 · 0⤊ 0⤋
log2 24-log2 3=log5x
log2 (24/3)=log5 x
log2 8=log5 x
we know from the definition of logs that
log2 8=3 so
log5 x =3 & from the definition of logs
x=5^3=125
y=1/125=.008
2006-10-15 12:45:53 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋