Answer to Question #57031 in Algebra for Albert

Question

1: Which of the following pairs are equivalent statements?

A: logbN = p and B^p = N

B: N^1/b = p and b^p = N

C: logNb = p and B^p = N

D: logpN = b and b^p = N


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

The graph of f(x) = ½ 3√x looks like the graph of f(x) = 3√x , but will shrink it horizontally by a factor of ½

f(x) = ½ √x has the same domain and range as f(x) = 3√x

The graph of f(x) = ½ 3√x looks like the graph of f(x) = 3√x , but will shrink vertically by a factor of ½

The graph of f(x) = ½ √x does not look like the graph of f(x) = 3√x because the roots are different.


3: Simplify the expression shown below:
(a^2 b^5 c^3)^4 (a^3 b^3)^3 (a^2 c)^2

A: a^21 b^24 c^10

B: a^13 b^19 c^13

C: a^21 b^29 c^14

D: 6(a^8 b^12 c^4)