Rewrite
log
(
2
x
)
=
4
log2x=4 in exponential form using the definition of a logarithm. If
x
x and
b
b are positive real numbers and
b
b
≠
≠
1
1, then
log
b
(
x
)
=
y
logbx=y is equivalent to
b
y
=
x
by=x.
10
4
=
2
x
Answer:
Step-by-step explanation:
From the table given in the question,
x y Difference Ratio
1 12 - -
2 36 36-12 = 24 
3 108 108-36 = 72 
4 324 324-108 = 216 
5 972 972-324 = 648 
There is a common ratio of 3 in each successive term.
Therefore, data given in the table will represent an exponential function.
For a point 
------(1)
For another point of the table 
,
--------(2)
Equation (2) divided by equation (1)
From equation (1),
Therefore, exponential function will be,
Answer:
So, if it grows by 6.75%, each year the population is 106.75% of the year before.
After 1 year, 370,000(1.0675). After two years, 370,000(1.0675)(1.0675).
370,000(1.0675)12 = your answer
Step-by-step explanation:
(5/6)/ (-2/3)
5/6 x (-3/2)
-15/12
-5/4 is your answer
hope this helps
Since the price of the cantaloupes is unknown, it will have to represented by a variable. Let's use x.
If Jackson starts with $25 and buys 5 cantaloupes of an unknown price, this subtracts 5 times the amount of 1 cantaloupe (which is x) from that $25.
This is shown as 25 - 5x.
After spending that money, he has $2.50 left over.
This means 25 - 5x = 2.50.
Now you just need to solve this by first isolating the variable.
First, subtract 25 from both sides.
25 - 5x - 25 = -5x
2.50 - 25 = -22.5
Then, divide both sides by -5. It's -5 since 5 is the coefficient and it's negative, so -5.
-5x / -5 = x
-22.5 / -5 = 4.5
This means x = 4.5.
And if x is 4.5, then that means the cost of 1 cantaloupe is $4.50.
