Matt wrote:
Ammer wrote:
I need to solve the following equation,
1600 = .25^n-1 (to the power of N minus 1)
I know how to solve it (The process and all) but I don't know how to simply 1600 so it can be .25 to the power of something. That way, I could equate the exponents and get n.
Can anyone help me?
First, using prime factors, you get out that 1600 = 2^6 x 5^2.
So, then we try to work out 25 in terms of powers of two.
25 = 2^x
.'. log2 25 = x
.'. (log 25)/(log 2) = x
.'. x = 4.64385619
.'. 1600 = 2^6 x 2^4.64385619
.'. 1600 = 2^10.64385619
.'. 1600 = 4^5.32192809
Think that works, and hope that is all clear. If you're confused about any of it, just ask

What I'm confused about is why you used 25 when the number was .25? Did you multiply it by 10 to get it to 25? And I'm not sure I get this log stuff, I've never seen it used before.
Thanks for helping me though.
<hr>
Another question which has got me puzzled,
Determine the future value of each investment/loan,
$6750 borrowed for 23 weeks at 9%/a, compounded monthly.
The equation for future value is: A = P(1+i)^n
A = Future Value
P = Present Value
i = Rate (.09 in this case) divided by the number of periods (12 in this case)
n = How long the money is borrowed for (In this case, it's 23 but our teacher wants us to turn it into a term in years, like
4 months would be 1/3 of a year). This would than be multiplied by the number of periods which is 12 in this case.
Therefore, can anyone help me convert 23 weeks into something which would describe the number as something of a year?
I know that sounds really confusing but if you read my example (Bolded), I'd think you'd be able to sorta understand what I'm saying.