...I am really having trouble with logarithms.
How would I go about solving these equations?
I am struggling quite a bit with logarithms so to be honest I am not really sure where to begin. I know I must get all of the logs on one side and numbers on the other, but that is about it.
1) y=200e^(0.05t)+50 solve for t
For number 1 would I begin by moving the 50 to the other side so I would have y-50= 200e^(0.05)
Would I now take the natural log to both sides?
divide both sides by 200 first, then take the natural log of both sides
2) 10log(I/10-12) = 87 solve for I
For this one I believe I would begin with taking 10 to both sides to cancel out the log. no, that is not correct.
10log(I/10-12) = 87
divide both sides by 10 first ...
log(I/10-12) = 8.7
(I/10 - 12) = 10^8.7
3) y = 5log base 2 of (x-3)-4 solve for X
For this one I know I need to isolate x. So would I begin by adding 4 to both sides?
If I did that I would have y+4 = 5log base 2 of (x-3). From here I am not quite sure which direction to head.
(y+4)/5 = log_2(x-3)
2^[(y+4)/5] = x-3