To answer this, first try to answer thexfollowing: what is x in this equation? 9 = 3
what is x in this equation? 8 = 2x
• Basically, logarithmic transformations ask, “a number, to what power equals another number?”
• In particular, logs do that for specific numbers under the exponent. This number is called the base.
• In your classes you will really only encounter logs for two bases, 10 and e.
Log base 10
We write “log base ten” as “log10” or just “log” for short and we define it like this:
If y=10x So, what is log (10x) ?
then log(y)=x
log (10x) = x 10log(x) = x
How about 10log(x)
More examples: log 100 =
log (105)=
?
2 5
• The point starts to emerge that logs are really shorthand for exponents.
• Logs were invented to turn multiplication problems into addition problems.
Lets see why.
log (102) + log (103) = 5, or log (105)
Answer:
$216
Step-by-step explanation:
Do 
= 0.2. Now you do 270 x 0.2, which equals 54. Finnaly you do 270-54, which equals 216. So now you have your answer.
The fraction is a cubic root, so to rationalize the denominator, you would multiply them by 3.
The answer is b. 3
Answer: 1104 Rooms Are Booked
Step-by-step explanation:
1. You change 92% to 0.92
2. You multiply 1200*0.92 to find the number of rooms
3. Your answer will end up being 1104
