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
AlladinOne [14]
2 years ago
9

Use logarithms to find the exact solution for 7(17^−9)−7=49.

Mathematics
1 answer:
ch4aika [34]2 years ago
6 0
ANSWER: x = -0.082


EXPLANATION:

1. Apply logarithm to both sides of the
equation. If one of the terms has base 10,
use common logarithm, otherwise, use
natural logarithm

2. Use the different properties of logarithms
to solve for the variable.

17
-92 _ 7 = 49
7.17-92 = 56
17-92 = 8
10g17(8)
-92
2
log, 7(8)
-9
log(8)
log(17)
-9
I=
-0.082
2 of 3
Add both sides by 7
Divide both sides by 7
Convert to logarithm
Divide both sides by - 9
You might be interested in
A model of a​ tractor-trailer is shaped like a rectangular prism and has a width of 2 in., a length of 10 in., and a height of 4
Sedaia [141]

Answer:

36.

Step-by-step explanation:

In the scale of the model, it says 1:36, which means that one tractor-trailer is the size of 36 models.

<h2><em><u>If you need more help or explanation, follow up in the comments. :P</u></em></h2>
6 0
3 years ago
You have 24 months left until you graduate and you plan on buying yourself a new $20,000 car on graduation day. If you invest $3
shusha [124]

Answer: No, the money won't be enough to buy the car

Step-by-step explanation:

you plan on buying yourself a new $20,000 car on graduation day and graduation day is 24 months time. If you invest $300 a month for the next 24 months.

The principal amount, p = 300

He is earning 4% a month, it means that it was compounded once in four months. This also means that it was compounded quarterly. So

n = 4

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

It was compounded for a total of 24 months. This is equivalent to 2 years. So

n = 2

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount that would be compounded at the end of n years.

A = 300(1 + (0.04/4)/4)^4×2

A = 300(1 + 0.01)^8

A = 300(1.01)^8

A = $324.857

The total amount at the end of 24 months is below the cost of the car which is $20000. So he won't have enough money to buy the car

3 0
3 years ago
What is the area of a sector of a circle with a radius of 2.0 ft and a central angle of 2<img src="https://tex.z-dn.net/?f=%20%5
Zigmanuir [339]
\bf \qquad \textit{area of a sector of a circle}&#10;\\\\&#10;A=\cfrac{\theta r^2}{2}\qquad &#10;\begin{cases}&#10;\theta=\textit{angle in radians}\\&#10;r=radius&#10;\end{cases}

plug in the provided radius and angle
6 0
3 years ago
look at the picture attached. I find these questions very difficult I will mark brainliest to however helps me the most
Luden [163]

Answer:

to find the total number of miles traveled, you have to add the total distance from point L to point M together. 929+ 595 = 1,524 total miles traveled

to find the average miles per hour, you divide the total miles traveled, by the amount of time it took. 1,524 / 3 = 508 miles per hour

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
James completed 18 math problems. This is 30% of the problems he has to do. How many math problems must he do?
xenn [34]
James has to do 60 Math problems
3 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify the expression: -3(x+6)
    13·2 answers
  • Keith as 11/12 hours to play, he has already played 1/4. which is the best estimate of the fractional part of an hour he has lef
    8·1 answer
  • Math help I need help with all 4 questions
    14·1 answer
  • Karen is opening a new container of one-a-day vitamins that holds 250 vitamins. Each vitamin has 20 mg of phosphorus, which make
    13·1 answer
  • Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborho
    13·2 answers
  • ture or false: when you translate a figure in the coordinate plane, the number of units you translated is added to the y-coordin
    14·1 answer
  • Today, everything at a store is on sale. The store offers a 10% discount.
    13·2 answers
  • Write the equation of the line -6x – 4y = 28 in slope-intercept form
    11·1 answer
  • If <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x" id="TexFormula1" title="f(x) = x" alt="f(x) = x" align="absmiddle" clas
    8·1 answer
  • ΔTUV∼ΔMLV
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!