It is a statement.
I hope this helped!
Want to use some of the algebra rules of log's:
log(a)-log(b)= log(a/b),
so log(P/N) - log(M/N) = log( P/N:M/N) = log(P/M),
Then: 8-5 = log(P/M), log(P/M)=3.
If log here means natural logarithm (base e), then P/M = e^3,
If log here means basis 10, decimal logarithm, then P/M = 10^3 = 1000.
Answer:
39.39%
Step-by-step explanation:
There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.

1 - Understanding the equation
The '|'s which are surrounding the fraction are absolute value symbols in mathematics,
Absolute value means the positive value of anything inside
<u>Examples</u>:
| -8 | = 8
| 8 | = 8
and
| -2 | = 2
| 2 | = 2
the * 100 means you multiply (the * symbol means multiply) by 100.
We do this to get it into a percent.
3 - Assign numbers to the values from our equation
Original Value (What it changed from): 330
New Value (What it changed to): 200
3 - Plug in our values into our variables from our equation
<em>Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.</em>
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Hope this helps :)
Answer: the actual amount that Luke paid including tax is $55.65
Step-by-step explanation:
The initial price of the jacket is $75.
Luke bought a jacket that was 30% off the cost. This means that the amount of discount on the Jacket is
30/100 × 75 = 0.3 × 75 = $22.5
The price of the jacket after the discount had been applied is
75 - 22.5 = $52.5
He paid sales tax of 6% after the discount had been applied. This means that the amount of sales tax that he paid on the jacket is
6/100 × 52.5 = 0.06 × 52.5 = 3.15
Therefore, the actual amount that Luke paid including tax is
52.5 + 3.15 = $55.65