More College algebra help needed?

Question

1. If log a ≈0.250 and log b ≈0.644, then log b/a ≈

a. 2.576

b. 0.161

c. 0.394

d. There is insufficient information for a meaningful answer

2. Which of the following cannot be a base for exponential and logarithm is functions?

a. 0.1

b. π

c. 1

d. e

3. y = log π is equivalent to:

a. 10-y=π

b. 10π=y

c. 10y =π

d. cannot be defined without first knowing the base of logarithm

4. If log2 is ≈0.301 and log 3 ≈0.477, then log 6 ≈?

a. 0.778

b. 0.144

c. 0.176

d. cannot be determined given this information

5. Determine x for 102 x+1=100x.

a. x=-1

b. x=2

c. x=0

d. no solution

Answer 1

1. c

log b/a = log b -log a

2. c

Logarithmic bases must be positive, but cannot =1

3. d

4. a

log a*b = log a + log b

5.  it looks like you perhaps typed this one incorrectly, because:

102x + 1 = 100x

subtract 102x from both sides

1 = 100x - 102x

1 = -2x

divide both sides by -2

-1/2 = x

So, there is a solution, but it's not one of the ones listed.

Answer 2

If you can't do (5) by yourself, you have a serious problem and no chance at all  with the other questions.  You need to see your teacher.

There is no point just giving you the answers.