Answer to Question #57016 in Algebra for Butch DeLoria

Question

1: Which of the following are true statements?
Check all that apply

log(M/N) = logM – logN

logM^p = p ∙ logM

(logM)^p = p ∙ logM

log(M/N) = logM/logN


2: Fill in the blank: log sub 5 625 = ______∙ _________


3: Which of the following equations is equivalent to b^v = x ?

A: y = Inx
B: y = logb X
C: y = logb Y
D: y = logX

4: Rewrite the following expression as a single logarithm:

(2log(x + 3) + 2log(x – 2)) – (3log(x – 7) + log (x^2))

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

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


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


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


5: If logx = -5, what is x?
A: 0.00001
B: -0.00001
C: -0.00005
D: 0.00005