1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nirvana33 [79]
3 years ago
9

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

Mathematics
1 answer:
katovenus [111]3 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
You might be interested in
The sum of twice a number and seven is twenty five
Mama L [17]
9

Because 9x2 is 18+7=25
3 0
3 years ago
Suppose Mahkah makes a Native American lunch in a pot that is shaped like a right cylinder. If
Harman [31]

The pot can hold 5.23 quarts

Step-by-step explanation:

  • Step 1: Find the volume of the right cylinder shaped pot.

Diameter of the pot = 8 in

⇒ Radius = 4 in

Height = 6 in

⇒ Volume of the pot = πr²h = 3.14 × 4² × 6

                                   = 301.44 in³

  • Step 2: Convert inches to quarts.

1 in³ = 0.017316 liquid quarts

⇒ 301.44 in³ = 301.44 × 0.017316 = 5.23 quarts

6 0
3 years ago
To find the height of the peak, list the corresponding sides and angles of the two triangles you and Tyler have created. (6 poin
sukhopar [10]
We know that

Right triangles PBM and MTF are similar 
because
angle PMB=angle TMF
and
angle BPM=angle FTM
and 
angle B =angle F=90 degrees
so
corresponding sides are
BM and MF
PB and TF
PM and MT
(PB/TF)=BM/MF
solve for PB
PB=(TF*BM)/MF
where
TF=6ft
BM=20 ft
MF=3 ft
so
PB=(6*20)/3------> 40 ft

the answer is
<span>the height of the peak is 40 ft</span>
7 0
4 years ago
Joe snore weighs 195 pounds. Every year his weight increases by 3 pounds. What will he weigh next year
marin [14]
He will weigh 198 lbs. you add 3 lbs to his original weight for each year.
7 0
3 years ago
What is the meaning of an absolute value
storchak [24]

Answer:

"Absolute value" is the non-negative value of a number, disregarding whether or not it has a sign.

Step-by-step explanation:

"Absolute value" is the non-negative value of a number, disregarding whether or not it has a sign. It can be thought of as how far it is away from the number of 0, whether it's to the left or right. Absolute value of a number is written as |x|, where x = any number. Let's say x was -1. |-1| would be 1 because it's 1 away from 0. If x was just 1, then the number would stay the same.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0
2 years ago
Other questions:
  • Katie invested a total of ​$8000​, part at 5% simple interest and part at 6% simple interest. At the end of 1​ year, the investm
    10·1 answer
  • Solve using linear combination. 8x+14y=4 -6x-7y+-10
    9·1 answer
  • 1.
    11·1 answer
  • roberta is 6 times danielles age. in 12 years, roberta will only be 2 times danielles age. how old is danielle now?
    11·1 answer
  • What is the scale factor from polygon A to polygon B?
    10·1 answer
  • A ball was bounced 3 times between 3:15p and 3:18p, thrown 10 times between 3:20p and 3:30p and bounced 7 times between 4:15p an
    8·1 answer
  • A 90% confidence interval for the average weight (in pounds) of Americans was found to be (185, 210). The point estimate for thi
    10·1 answer
  • Mason is taking a multiple choice test with a total of 100 points available. Each question is worth exactly 5 points . What woul
    12·1 answer
  • What is 3x + 5 = 10.4
    14·2 answers
  • The total surface area of a cube is 96cm2, find its volume.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!