This is for IB standard level math which is basically a review of everything through calculus and I'm having trouble remembering how to do some of this stuff. I have a test tomorrow so if anyone could help me out, it would be greatly appreciated.
1. Solve for X and Y using a system of equations
4^X x 8^Y = 2
3^3X x 9^2Y = 27^(2/3)
2. If log(base a)2 = X and log(base a)5 = Y, find...
a. log(base 2)5
b. log(base a)20
3. Solve the system:
Y = 2log(base 3)X
Y+1 = log(base 3)9X
4. Use the first three terms in the expansion of (1+X)^5 to find an approximate value for 1.06^5
5. If log(base b)X = 5 and log(base b)sqrtY = 12, find...
a. log(base b)b^Y
I know it's not very advanced stuff but I'm having trouble with this class and I'd like to keep my GPA as high as I can until college apps are finished.
Thanks.
hints ...1. Solve for X and Y using a system of equations
4^X x 8^Y = 2
3^3X x 9^2Y = 27^(2/3)
hint for part (a) ...2. If log(base a)2 = X and log(base a)5 = Y, find...
a. log(base 2)5
b. log(base a)20
hint for part (b) ... and
hint ...3. Solve the system:
Y = 2log(base 3)X
Y+1 = log(base 3)9X
hint ...4. Use the first three terms in the expansion of (1+X)^5 to find an approximate value for 1.06^5
hints ...5. If log(base b)X = 5 and log(base b)sqrtY = 12, find...
a. log(base b)b^Y