SOLUTION: I cant find these again.....I am stuck...Can someone help me Here is the problems and I have been at this since this morning on these..HELP These are not in the book and I have t

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I cant find these again.....I am stuck...Can someone help me Here is the problems and I have been at this since this morning on these..HELP These are not in the book and I have t      Log On

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Question 175448: I cant find these again.....I am stuck...Can someone help me
Here is the problems and I have been at this since this morning on these..HELP
These are not in the book and I have to get this finished...Please Desparate
Write as the sum and /or difference of logs. Express powers as factors.
16. In (x+8)(x-9)^3/2 / ((x-4)^4 , x>9
The choices are :

A. 3/2In(x+8)+3/2In(x-9)-6In(x-4)
B. In(x+8)+In(x-9)+In3-12In(x-4)-In2
C.3/2In(x^2+17x-72)-6In(x-4)
D.3In(x+8)-2In(x-9)-6In(x-4)

17. In (5x)11thpowersqr1-2x/(x-3)^9 ,x>3
The choices are:

A. 5Inx+2/11In(1+2x)-9In(x-3)
B. In 5+In x-11 In(1+2x)-9In(x-3)
C. In 5 + In x +1/11 In(1+2x)-In 9 - In (x-3)
D.In 5 + In x + 1/11 In (1+2x)- 9 In (x-3)
For the given functions F and G, find the requested composite function value.
18. f(x)=sqrtover x+3; g(x)=2x; Find (fog)(2)
The choices are:

A. 2sqrt10 B. sqrt10 C. 2sqrt5 D. sqrt7 I dont know how to plug on the computer a symbol of a sqrt?

19. F(x)=2x+2;g(x)=4x^2+3;Find (g°g)(3)
The choices are:

A. 6087 B. 18 C. 80 D. 259

Find the indicated composite for the pair of functions.
(f ° g)(x): f(x)=1/(x-8), g(x)=8/3x
The choices are:

a. 1x/8-24x b. 3x/8-24x c. 8x-64/3x d.3x/8+24x

Find the domain of the composite function of f ° g.
f(x)=x+2; g(x)=8/x+4
The choices are:
a. {x⌡x not equal-6}
B.{x⌠x not equal -4, x not equal -2}
C.{x⌡x is not a real number}
D. {x⌠x not equal -4}
There is a up and down straight line between the X's...I do not know what symbol to key in for this...

Find the indicated composite for the pair of functions.
(f ° g) (x): f(x)=5/x-8, g(x)=8/3x
The choices are:

A. 15x/8-24x b. 5x/8-24x c. 15x/8+24x d. 8x-64/15x

Find the Inverse function of F. State the domain and range of F.

F(x)=3x-2/ (x+5)
The choices are:
A.f^-1(x)=5x+2/3-x;domain of f:(x/x not equal -5};range of f{y/not equal 3} between the x's they are up and down straight lines........
B. f^-1(x)=3x+2/x-5;domain of f;{x/x not equal -5};range of f:{y/y not equal 5}
C .f^-1(x)=x+5/3x-2;domain of f:{x/x not equal -5}; range of f {y/y not equal 2/3}
D. f^-1(x)=5x+2/3+x;domain of f:{x/x not equal -5}; range of f: y/y not equal -3}

Please Help..I am tearing my hair out with these.....

Answer by solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!
Your representations of the problems are very difficult to decipher. I think for the first one you mean:

ln%28%28%28%28x+%2B+8%29%28x+-+9%29%29%2F%28x+-+4%29%5E4%29%5E%283%2F2%29%29, x+%3E+9

In which case,

Use the following rules:

log%28b%2C%28x%5En%29%29=n%2Alog%28b%2C%28x%29%29

The log of the product is the sum of the logs: log%28b%2C%28xy%29%29=log%28b%2C%28x%29%29+%2B+log%28b%2C%28y%29%29

The log of the quotient is the difference of the logs: log%28b%2C%28x%2Fy%29%29=log%28b%2C%28x%29%29+-+log%28b%2C%28y%29%29


ln%28%28%28%28x+%2B+8%29%28x+-+9%29%29%2F%28x+-+4%29%5E4%29%5E%283%2F2%29%29 → %283%2F2%29ln%28%28%28x+%2B+8%29%28x+-+9%29%29%2F%28x+-+4%29%5E4%29 → %283%2F2%29%28ln%28x%2B8%29%2Bln%28x-9%29-ln%28%28x-4%29%5E4%29%29 → %283%2F2%29%28ln%28x%2B8%29%2Bln%28x-9%29-4%2Aln%28x-4%29%29 → %283%2F2%29ln%28x%2B8%29%2B%283%2F2%29ln%28x-9%29-6%2Aln%28x-4%29 →

Answer A.


Write back and we'll talk about the rest of them.