Question

1.solve : 3^-4x+5=1/9
3^-4x+5=3^-2
-4x+5=-2
x=7/4..

2. e^t=1000
ln e^t=ln 1000..???
i am not sure about this. haha-

3. log_2x-log_2(x-3)=1
log_2 x/x-3=1
x/x-3=2
x=2x-6
x=6...???

Answer 1

For 1. awesome job!

2. e^t=1000
You are correct for taking the natural log of each side:
ln(e^t)=ln(1000)=====> tln(e)=ln(1000) =====> t=ln(1000)

3. your answer is correct, i'm not sure why you have a question mark, if you could please explain so I can be of help...

Answer 2

3. i wanst sure because i rechecked but it didin't match with "1" ..

Answer 3

3. log_2 x - log_2 (x-3) =1
When x=6 you have
log_2 (6) - log_2 (6-3) =1
log_2 (6/3) =1
2^1 does equal 6/3=2 it does check out :-)

Answer 4

thanks.

Answer 5

you are welcome