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nirvana33 [79]
4 years ago
9

What is the exact value of x in the exponential equation 2^5x − 57 = 43?

Mathematics
1 answer:
katovenus [111]4 years ago
4 0
Start by getting the term with the exponent on one side
2^{5x}=100

take the log of both sides
log 2^{5x} =log100

There is a log rule that says we can bring down the exponent
5xlog2=log100

Solve for x
5x= \frac{log100}{log2}
5x=6.64

answer: x=1.33
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De que numero es 552 el 8%menos
djyliett [7]
8% of 552 is 44.16. Look at the percent sign as a decimal and move it two places to the left, that'll give you 0.08. To find 8% of 552, look at it as 0.08 multiplied by 552. After you multiply you should get 44.16.
8 0
3 years ago
A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink
ra1l [238]

Answer:

The number of hot beverages sold were 45 and the number of cold beverages sold were 180.

Step-by-step explanation:

Let the number of cold  beverages sold be c

And the number of hot beverages sold be h

According to the question:

c=4\times h...

$ 1.5\times c + 2\times h = Sale of any day

Part1:

For Saturday.

The sale is of $360

then

$ 1.5 \times c + $ 2 \times h =$ 360

Part 2:

Following the method of substitution.

And plugging the values of c=4\times h...in equation where the sales of Saturday is given.

1.5\times c + 2\times h =360

1.5\times 4\times h + 2 \times h =360

6\times h + 2\times h= 360

8\times h=360

Dividing both sides with 8.

h=\frac{360}{8}

h=45

Inserting h=45 in c=4 \times h...

we have c=4\times 45 = 180

So the number of hot beverages sold were 45 and the number of cold beverages sold were 180.

6 0
3 years ago
Fill in the box to make the equation true.<br> 5x + something - 3x=4x
Sveta_85 [38]

Answer: 2x

Step-by-step explanation: because 5+2-3=4

5 0
3 years ago
Read 2 more answers
Q.2 - What is the value of y in the equation 3(4y - 12) = 0 ? Show your work.
Alex

Hey there!

3(4y - 12) = 0

3(4y) + 3(-12) = 0

12y - 36 = 0

Add 36 to both sides

12y - 36 + 36 = 0 + 36

Cancel out: -36 + 36 because it give you 0

Keep: 0 + 36 because it help solve for the equation

New equation: 12y = 0 + 36

Simplify it

12y = 36

DIVIDE 12 to both sides

12y/12 = 36/12

Cancel out: 12/12 because that give you 1

Keep: 36/12 because it give you the y-value (also known as your overall result)

New equation: y = 36/12

Simplify it

y = 3


Therefore, your answer should be:

y = 3


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

5 0
2 years ago
How far would you travel in 19 hours
jeka57 [31]
3.1578947368421053 miles per hour
4 0
3 years ago
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