this is a an equation where the value of b is to be found.
2006-12-15 06:57:38 · 6 answers · asked by Erline V 1 in Science & Mathematics ➔ Mathematics
2^b=(48)^5/(12)^5
=>2^b=(12*4)^5/12^5
=12^5*4^5/12^5
=4^5
=2^10
so b=10
2006-12-15 06:59:53 · answer #1 · answered by raj 7 · 2⤊ 0⤋
2^b=48^5/12^5
2^b=(12^5 X 4^5)/12^5
2^b=4^5
2^b=(2^2)^5
2^b=2^10
b=10.
2006-12-15 15:31:18 · answer #2 · answered by Rex 1 · 0⤊ 0⤋
48^5 / 12^5 = (48/12) ^5 = 4^5
4^5 = (2^2)^5 = 2^(2x5) = 2^10
so b = 10
hope that makes sense
2006-12-15 15:00:42 · answer #3 · answered by hayharbr 7 · 1⤊ 0⤋
All the anwers thus far seem fine; Maussy prolly lost some accuracy when he used a calculator to actually evaluate his answer. The b = 10.
The strategy to note when your unknown is an exponent is this: Simplify and hope that the base for the unknown matches the base on the other side of the equation. Here it does. If it doesn't then you force it to by using base 10 or base e, which is what I think Maussy did early on.
2006-12-15 15:46:55 · answer #4 · answered by answerING 6 · 0⤊ 0⤋
2^b=48^5/12^5
2^b=4^5=2^10
b=10
2006-12-15 18:39:11 · answer #5 · answered by yupchagee 7 · 0⤊ 0⤋
go to the log
log 2^b = b* log 2 (1)
48^5/12^5 = (48/12)^5 = 4^5
log 4^5 = 5 log4 (2)
writing (1) =(2)
b = 5 log4/log2 =11.61
2006-12-15 15:04:23 · answer #6 · answered by maussy 7 · 0⤊ 1⤋