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faltersainse [42]
3 years ago
9

choose the single logarithm expression that is equivalent to the one shown 1 / 3 log 3x + 2 / 3 log 3x​

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

\log (3x)

Step-by-step explanation:

The given logarithmic expression is:

\frac{1}{3}\log(3x)+ \frac{2}{3}\log(3x)

This is the same as:

\frac{1}{3}\log(3x)+ \frac{1}{3}\log(3x)^2

\frac{1}{3}(\log(3x)+ \log(3x)^2)

We now apply the product rule to get:

\frac{1}{3}\log(3x)\times (3x)^2

\frac{1}{3}\log (3x)^3

We now apply the power rule to get;

\frac{3}{3}\log (3x)=\log (3x)

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Members of the Wide Waters Club pay
vivado [14]

Answer:

The number of times members and non-members will have to rent a boat in order to pay the same amount=20

Step-by-step explanation:

We can have two expressions to show the total cost paid by a member and non-member;

Total cost by member=Cost per summer season+cost per number of times they rent a boat×number of times they rent a boat

where;

Cost per summer season=$105

Cost per number of times they rent a boat=$9.50

Number of times they rent a boat=n

Replacing;

Total cost by a member=105+(9.5×n)=9.5 n+105......equation 1

Total cost by a non-member=Cost per number of times they rent a boat×number of times they rent a boat

where;

Cost per number of times they rent a boat=$14.75

Number of times they rent a boat=n

Replacing;

Total cost by a non-member=(14.75×n)=14.75 n......equation 2

To calculate the number of times they would have to rent a boat in order to pay the same amount, we equate equation 1 to equation 2

9.5 n+105=14.75 n

14.75 n-9.5 n=105

5.25 n=105

n=105/5.25

n=20

The number of times members and non-members will have to rent a boat in order to pay the same amount=20

6 0
4 years ago
Find the volume of a cube with side lengths of fifteen feet
lidiya [134]

Answer:

3375 feet cube

Step-by-step explanation:

Given :

side of cube = 15 feet

Formula used :

Volume of cube , v = a^3

Solution :

Volume of cube

= a^3

= 15^3

= 15*15*15

= 3375 feet cube

8 0
3 years ago
Find the equation of the line.
ki77a [65]

Hello,

2 points of the line: (2,0) and (0,3)

\Delta\ y=3-0=3\\\Delta\ x=0-2=-2\\\dfrac{\Delta\ y}{\Delta\ x} =\dfrac{-3}{2} \\\\y-0=\dfrac{-3}{2}*(x-2)\\\\\boxed{y=-\dfrac{3x}{2}+3}\\

3 0
3 years ago
Write as a mixed number 73/8
lyudmila [28]
Your answer would be 9 1/8
5 0
3 years ago
Read 2 more answers
Which property of multiplication is shown? 6 · 1 = 1 · 6
saw5 [17]

Answer: Commutative property of multiplication  

Step-by-step explanation: The problem 6 · 1 = 1 · 6 demonstrates the commutative property of multiplication.

In other words, the commutative property of multiplication says that changing the order of the factors does not change the product.  

So for example here, 6 · 1 is equal to 6 and 1 · 6 also equals 6.

Since 6 = 6, we can easily see that 6 · 1 must be equal to 1 · 6.

In more general terms, the commutative property of multiplication can be written as a · b = b · a where <em>a</em> and <em>b</em> are variables that can represent any numbers.

5 0
3 years ago
Read 2 more answers
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