Answer:

Step-by-step explanation:
By definition, we can write ln instead of log. WHEN??
Whenever the base of the logarithm is the number "e".
Hence, when we have:

We can write it in shortcut as:

Hence, ln x can also be written as 
Fourth answer choice is right.
Answer:
Step-by-step explanation:
Formula to determine the scale factor,
Scale factor = 
2 = 
2 = 
P'Q' = 4 cm
Similarly, for the length of A'B',
2 = 
2 = 
A'B' = 3 cm
For the length of M'N',
2 = 
2 = 
M'N' = 6 cm
Step 1 , switch sides - 29-3b<10
step 2 , subtract 29 from both sides - -3b< -19
step 3 , multiply both sides by -1 - 3b > 19
step 4 (answer) - divide by 3 = 19/3
To find the tax rate when given the initial price of an object and the final tax value, you use the equation: $350 * X = $22.75 (where X is the sales tax rate). Then solve:
$22.75/$350 = .065
So the rate is 6.5%