1. Expand ln(x^4/ z^(1/3) y^(2/3))
I got the second part of that to 1/3(ln z y^2) How can I expand that more?
2. How do I solve [log(x)]^2 = log x^2.
I understand I have to factor it out? not exactly sure how to do that...
3. log4 (x) - log4 (4 - 4x) = log4 (1/(x-1))
got it down to (x+4)(x-1) = 0 so x= -4 or 1, final answer 1, my teacher says it's wrong? don't really know what I did wrong.
4. 9^x = 3^(x+2) - 14
5. 8^A (1/4)^(A-2) = sq.rt. (2A)
got A= -16/3.. which is apparently wrong..
6. 3^(t+1) = 4^(3-2t)
7. A(t) = P (1 + r/n) ^nt ; invest $3500 at 2.5% quarterly and get $5000
got 14 months.. is it just that I got the units wrong or... btw, the answer had to be in months
8. half-life is 30 years. How long for 40% to decay?
I got 40 years...which is also apparently wrong..
Could you please show steps? Also, if you don't want to, you don't have to write out all the exact numbers and stuff, as long as you just show/tell me how to solve it. Thank you!
wait, I got number 1 to expand a bit more, not sure if it's expanded all the way though. I now have 1/3(ln z + 2 ln y). Is that right?
I got the second part of that to 1/3(ln z y^2) How can I expand that more?
2. How do I solve [log(x)]^2 = log x^2.
I understand I have to factor it out? not exactly sure how to do that...
3. log4 (x) - log4 (4 - 4x) = log4 (1/(x-1))
got it down to (x+4)(x-1) = 0 so x= -4 or 1, final answer 1, my teacher says it's wrong? don't really know what I did wrong.
4. 9^x = 3^(x+2) - 14
5. 8^A (1/4)^(A-2) = sq.rt. (2A)
got A= -16/3.. which is apparently wrong..
6. 3^(t+1) = 4^(3-2t)
7. A(t) = P (1 + r/n) ^nt ; invest $3500 at 2.5% quarterly and get $5000
got 14 months.. is it just that I got the units wrong or... btw, the answer had to be in months
8. half-life is 30 years. How long for 40% to decay?
I got 40 years...which is also apparently wrong..
Could you please show steps? Also, if you don't want to, you don't have to write out all the exact numbers and stuff, as long as you just show/tell me how to solve it. Thank you!
wait, I got number 1 to expand a bit more, not sure if it's expanded all the way though. I now have 1/3(ln z + 2 ln y). Is that right?