CPhill

144 in = 12 ft.

So

12 - 3 = 9 ft. remaining

y = 5x - 3

That's it ......!!!

Yep...I agree

Waffles???......Yum!!!!

Save me some.......

rosala.....I don't know what this is, either.......

I'm assuming that we have monthly compounding.......so we have......

650 = P(1 +.03/12)⁽⁴⁵⁾

Divide both sides by  (1 +.03/12)⁽⁴⁵⁾

P = 650/(1 +.03/12)⁽⁴⁵⁾ ≈ $580.92

It's the  x^y  key.....

44118 = 3^b mod 65537

This says that

65537n + 44118 = 3^b

There are infinite solutions to this...for instance....

Let n=3

Then we have

240729 = 3^b

Taking the log of both sides, we have

log 240729 = log 3^b    .....and by a property of logs, we have

log 240729 = b*log3    ......and dividing both sides by log3, we have

log 240729/log 3  = b ≈ 11.2791630188882364

If we insist that both n and b be integers, I'm not sure how to solve this....(if it even has a solution).....(maybe Alan knows a method)

4(2^(n-1))=16ⁿ

And we can write  4 as 2²  and 16 as 2⁴.....and we have....

2²(2^(n-1))=(2⁴)ⁿ    ........and, by a property of exponents, we have

2^{(2 + n - 1)} = 2⁽⁴ⁿ⁾

2^{( n + 1)} = 2⁽⁴ⁿ⁾

And solving for the exponents, we have

n + 1  = 4n

1  = 3n

n = 1/3

(-3s²t)⁴ =

(-3)⁴ * (s²)⁴ * t⁴  =

81s⁸t⁴