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Andreyy89
3 years ago
8

What is the solution of log4(2x-6)=2

Mathematics
1 answer:
Flauer [41]3 years ago
3 0

Answer: x=11

Step-by-step explanation:

Remembert that, by definition:

log_b(x)=y → b^y=x

Then, you can rewrite log_4(2x-6)=2 in exponential form:

4^2=2x-6

Now you can solve for the variable "x":

Add 6 to both sides of the equation:

4^2+6=2x-6+6

22=2x

And finally you must divide both sides of the equation by 2, then:

\frac{22}{2}=\frac{2x}{2}\\\\x=11

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Car travels and average speed of 48 miles per hour how long does it take to travel 180 miles?
Neporo4naja [7]

speed =48mph

distance = 180 miles

we know that

time = distance / speed

time=\frac{180}{48} hours

time=3.75 hours..........Answer

5 0
3 years ago
Read 2 more answers
Mel Needs to park his car for eight hours. Spikes parking place charges five dollars per hour for the first three hours and thre
Dima020 [189]

Answer:

  • Spike's Parking
  • $5 less

Step-by-step explanation:

After 3 hours, Spike charges 6 dollars per hour. For 3 hours, the charge is only $5×3 = $15 (which is $3 less than $6×3). So the rate after 3 hours can be modeled by ...

  s(h) = 6h -3

For 8 hours, s(8) = 6·8 -3 = 45 . . . . dollars

__

After 4 hours, Main Deck charges 8 dollars per hour. For 4 hours, the charge is only $18 (which is $14 less than $8×4). So the rate after 4 hours can be modeled by ...

  m(h) = 8h -14

For 8 hours, m(8) = 8·8 -14 = 50 . . . . dollars

__

For 8 hours, the $45 charge at Spike's is $5 less than the $50 charge at Main Deck.

6 0
3 years ago
What is a 2c − 5b − c a − b simplified?
timama [110]
All you have to do is combine like terms. 2c and (-c) are like terms (-5b) and (-b) are like terms and a is a term. So, 2c combined with (-c) is C. (-5b) and (-b) combined is (-6b). Since a doesnt need to be combined with anything, you leave it as it is so your answer will then be c - 6b + a (this is the answer assuming that there is a + in front of the a. If there is a - sign, then just change your +a to -a at the end
7 0
3 years ago
The area of a rectangular painting is 5/8 square yard. The width is 3/4 yard. What is the length of the painting?
vfiekz [6]

Answer:

The answer is

<h2>\frac{5}{6}  \:  \:  \:  \: yards \\</h2>

Step-by-step explanation:

Area of a rectangle = length × width

Since we are finding the length of the rectangle

length =  \frac{area}{width}  \\

From the question

area = 5/8 square yards

width = 3/4 yard

So we have

length =  \frac{5}{8}  \div  \frac{3}{4}  \\  =  \frac{5}{8}  \times  \frac{4}{3}  \\  =  \frac{5}{2}  \times  \frac{1}{3}

We have the final answer as

\frac{5}{6}  \:  \:  \:  \: yards \\

Hope this helps you

3 0
3 years ago
When planning his crops, Farmer Tim knows that his 7 acres can support peas and carrots. He wants to make $7,000 from his crops.
dsp73
This is the concept of algebra, we are required to get the equation that would be a constraint in the system of equation,
The total amount that the farmer want to make is $7000
amount he can make per acre of land is $2000, the amount he can make per acre will $1000. The variable representing peas and carrots are p and c retrospectively;
The total amount made from this can be represented by the equation below;
Total amount made by p acres of peas will be:
2000*p=$ 2000p
Total amount made by c acres of carrots:
1000*c=$1000c
Total  amount will be given by:
2000p+1000c=7000

this can be simplified by dividing through by 1000 to get:
p+c=7

The correct answer is C.
6 0
3 years ago
Read 2 more answers
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