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
Paladinen [302]
4 years ago
6

Without actually calculating the logarithm, determine what two integers the value of log(1.37×109) falls between.

Mathematics
1 answer:
jok3333 [9.3K]4 years ago
6 0

 

First we need to find out what kind of logarithm rule is given, the given is logarithm product rule which states that a log of a product is equal to the sum of the log of the first base and the log of the second base.

By:

= log (1.37 x 10⁹) = log (1.37) + log (10⁹)

= log (1.37) + 9

= 9 + log (1.37)

In the meantime, 1.37 is between 1 and 10 its logarithm will be between 0 and 1. Thus, the value of log (1.37 x 10⁹) falls between 9 and 10 because when you compose a scientific notation you will always have a number among 1 and 10 by 10 to some power. That power tells you the integer part of the logarithm.

<span> </span>

You might be interested in
Solve for m -mk-90&gt;85
loris [4]
First add 90 to both sides) -mk>85+90simplify 85+90 to 175) -mk>175divide both sides by K) -m>175/kmultiply both sides by -1) m<-175/k
 YOUR ANSWER IS
M<-175/K 
hope l helped today l was stuck on the same question doing part 2 of alg exam , and l came through your question l hope it's not too late :)
5 0
4 years ago
What is the length of Line segment B C, rounded to the nearest tenth? 13. 0 units 28. 8 units 31. 2 units 33. 8 units.
Len [333]

The length of the line segment BC is 31.2 units.

<h2>Given that</h2>

Triangle ABC is shown.

Angle ABC is a right angle.

An altitude is drawn from point B to point D on side AC to form a right angle.

The length of AD is 5 and the length of BD is 12.

<h3>We have to determine</h3>

What is the length of Line segment BC?

<h3>According to the question</h3>

The altitude of the triangle is given by;

\rm Altitude = \sqrt{xy}

Where x is DC and y is 5 units.

Then,

The length DC is.

\rm Altitude = \sqrt{xy}\\&#10;\\&#10;12 = \sqrt{(DC) \times 5}\\&#10;\\&#10;\sqrt{DC } = \dfrac{12}{\sqrt{5}}\\&#10;\\&#10;

Squaring on both sides

\rm DC = \dfrac{144}{5}\\&#10;\\&#10;DC = 28.8

Considering right triangle BDC, use the Pythagorean theorem to find BC:

\rm BC^2 = DC^2+BD^2\\\\  BC^2 = (28.8)^2+(12)^2\\&#10;&#10;\\&#10;BC = \sqrt{829.44+144}\\&#10;\\&#10;BC = \sqrt{973.44}\\&#10;\\&#10;\rm BC = 31.2 \ units

Hence, the length of the line segment BC is 31.2 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/26252222

6 0
2 years ago
For any positive numbers a, b, and d, with b 1,
Vitek1552 [10]

Answer:

D

Step-by-step explanation:

using the rule of logarithms

log x - log y ⇔ log ( \frac{x}{y} )

then

log_{b} ( \frac{a}{d} ) = log_{b} a - log_{b} d

8 0
2 years ago
A computer valued at $1500 loses 20% of its value each year.
True [87]
It loses 300 dollars in value each year
1500/.2
7 0
3 years ago
Read 2 more answers
Please find the answer
Serggg [28]

Answer:

x^3 + 1/x^3 = 488

Step-by-step explanation:

  • x^2 + 1/x^2 = 62
  • x^2 + 1/x^2 + 2 = 64
  • ( adding 2 in both sides )
  • (x + 1/x ) ^2 = 64
  • x + 1/x = 8

now,

  • ( x+ 1/x ) ^ 3 = 512
  • x^3 + 1/x^3 + 3 × x × 1/x ( x + 1/x )
  • x^3 + 1/x^3 + 3 ( 8 )
  • ( since x + 1/x = 8 )
  • x^3 + 1/x^3 + 24 = 512
  • x^3 + 1/x^3 = 488

hence, we got x^3 + 1/x^3 = 488

8 0
3 years ago
Other questions:
  • Which statement is true regarding the functions on the
    9·1 answer
  • HELP! I DONT GET IT!!
    9·2 answers
  • 2/v + 2 = 9 solve for v
    14·2 answers
  • Which exponential equation is equation is equivalent to the logarithmic equation below? Log 200 = a
    14·2 answers
  • What’s the solution to x^2=18
    7·2 answers
  • WILL MAKE BRAINLIEST ONLY HAVE 10 MINUTES
    8·2 answers
  • Jasmine went shopping for her birthday. She bought a few books and markers. She bought a total of 12 items. Each book was $9 and
    9·1 answer
  • What is 64 divide 4+3=
    10·2 answers
  • What is the aswer ??????​
    7·2 answers
  • If a parallelogram has congruent
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!