Answer:

Step-by-step explanation:
You know how subtraction is the <em>opposite of addition </em>and division is the <em>opposite of multiplication</em>? A logarithm is the <em>opposite of an exponent</em>. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.
We know that
; as a logarithm, the <em>exponent</em> gets moved to its own side of the equation, and we write the equation like this:
, which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."
One historical quirk: because we use the decimal system, it's assumed that an expression like
uses <em>base 10</em>, and you'd interpret it as "What power do I raise 10 to to get 1000?"
The expression
means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is
.
(If we wanted to, we could also solve this:
, so
)
Answer:
4
or 4.75
Step-by-step explanation:
first we're going to convert the number into improper fractions.
7
=
and 2
= 
For subtracting it is suitable to adjust both fractions to an equal denominator, so we're going to multiply
x2, it'll equal the same number.
So now we have
-
, 30-11= 19.
simplified is, 4
.
As you can see I also added 4.75 as an answer, that's if the answer must be a decimal.
I hope this helps you!
0 is the difference
<span>|-5| = 5
5 - (-5) = 0
</span>
Answer:
Her average score is 150
Step-by-step explanation:
You add 175+142+133 and divide it by 3
To find mean or average you add up all the numbers and divide by how many numbers there are
Hey there!
To solve this problem, you first would need to solve for how much of the cake is left after Jasmine, her friend, and Jasmine's brother got their slices. Then, you would need to split the remaining amount in half to get the answer of what each parent ate. We would need to make all of the denominators the same, so let's make all of the fractions out of 12, a common denominator of 3 and 4.



It can then be concluded that each parent ate

of the cake, since there was

remaining.
You can check this answer by adding up all of the parts we used in this problem:

Hope this helped you out! :-)