SOLUTION: Hi can you please help me with these 4 problems? I need to know how to do them by tomorrow May 19 (7PM pacific time). Thank you so much. :) 1. Write this expression as a single lo

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hi can you please help me with these 4 problems? I need to know how to do them by tomorrow May 19 (7PM pacific time). Thank you so much. :) 1. Write this expression as a single lo      Log On


   

Question 38534: Hi can you please help me with these 4 problems? I need to know how to do them by tomorrow May 19 (7PM pacific time). Thank you so much. :)
1. Write this expression as a single logarithm.
4 log5(u) - log5(v) (5 is the base)
Give your answer using the form logA(B).
A =
B =
2. Express y as a function of x. The constant C is a positive number.
ln y = 5x + ln C
y(x) =
3. Express y as a function of x. The constant C is a positive number.
ln y = ln x + ln C
y(x) =
4. Suppose that ln5 = a and ln3 = b. Use properties of logarithms to write this logarithm in terms of a and b.
ln125

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
1. what are the A and B? to me this looks like A is the base?

Anyway:
4 log5(u) - log5(v)
log5(u^4) - log5(v)
log5((u^4)/v)
so work out what A and B are from this.

2. ln y = 5x + ln C
ln(y) - ln(C) = 5x
ln((y)/(C)) = 5x
y/C = e^(5x)
y = Ce^(5x)

3. ln y = ln x + ln C
ln y = ln(Cx)
y = Cx

4. ln125
ln(5^3)
3ln(5)
3a

jon