Question

What is the t in: 3657/2720 = (1.006833333)^12t?

Answer 1

First \[(1.006833)^{12t}=(3657)/(2720)\]

Answer 2

okay.

Answer 3

\[(1.006833)^{12t}=1.343\]
taking logs of both side leaves
\[12tlog(1.006833)=\log(1.343)\]

Answer 4

divide by the log on the rhs by the lhs
\[12t=\log(1.343)/\log(1.0068330=> 12t=43.31\]

Answer 5

by the way, what are logs? How do I calcualte log?

Answer 6

\[t=(43.31/12)=3.61\]

Answer 7

logs stand for logarithm

Answer 8

oh.. what is logarithm and when do I use it? (I'm so sorry for asking D:)

Answer 9

No p! It is the power to which a number (called the base) is raised to produce a given number; e.g., the logarithm of 100 to the base 10 is 2.

Answer 10

ohhh!! thank you!!

Answer 11

no stress!