Answer to Question #57034 in Algebra for Allen

Question

10: Which of the following statements are not true?
Check all that apply.

logM^p = p ∙ logM

logM – logN = log(M-N)

logM + logN = log(MN)

log(M/N) = logM/logN


11: Simplify the expression below and write it as a single logarithm:

3log(x+4) – 2log(x-7) + 5log(x-2) – log(x^2)

( (x + 4)^3 (x – 7)^5 )
A: log( ---------------------- )
( (x – 2)^5 x^2 )

( (x + 4)^3 (x – 7)^2 )
B: log( ----------------------- )
( (x – 2)^-5 x^-2 )

( x^2 (x + 4)^3 (x – 7)^5 )
C: log( ---------------------------- )
( (x – 2)^5 )

( (x + 4)^3 (x – 2)^5 )
D: log( ----------------------- )
( (x – 7)^2 x^2 )


12: If log75 = 1.875 , then what is the value of log10075

A: 0.1875
B: 0.9375
C: .01875
D: .009375