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:
Step-by-step explanation:
If the center of the circle is (1,-2) and the circle passes through the point (4,2), then the radius of the circle is
The equation of the circle with center 
and radius r is
In your case, the equation is
Answer:
32
Step-by-step explanation:
The unknown side of the shape is 4+6=10
so
3+4+6+9+10=32
Answer:
39.6
Step-by-step explanation:
Given in the right angled triangle above are:
Ѳ = 49°,
Adjacent length = 26
Hypotenuse length = x
To find x in the right angled triangle given above, apply the trigonometric formula, cos Ѳ = adjacent length/hypotenuse length
Thus,
Multiply both sides by x
Divide both sides by 0.6561 to find x
x = 39.6 (to nearest tenth)
Answer:
the amount financed is $16,000
Step-by-step explanation:
The computation of the amount financed is shown below:
As we know that
Amount financed = cash price - down payment
= $16,500 - $500
= $16,000
Hence, the amount financed is $16,000
If we deduct the down payment from the cash price so we can get the amount financed
And, the same would be considered
