Trigonometry Logarithm help

Write in Exponential Form:

Log 10 .001 = - 3

A. 10
- 3 = .001

B. -3
10 = .001

C. -3
- 10 = .001

Solve for X:

Log 5 X = - 3
A. -125

B. 1/125

C. -1/125


Solve for X:

Log 8 2 = X

A. 16

B. 512

C. 1/3


Simplify:
Log 10 1000

A. 30

B. 10

C. 3

log_{10}(.001) = -3
10^log_{10}(.001) = 10^(-3)
.001 = 10^(-3)
B

log_{5}(x) = -3
5^log_{5}(x) = 5^(-3)
x = 1/125
B

log_{8}(2) = x
ln(2)/ln(8) = x
ln(2)/ln(2^3) = x
ln(2)/(3ln(2)) = x
1/3 = x
C

log_{10}(1000)
= log_{10}(10^3)
= 3log_{10}(10)
= 3
C