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
Margarita [4]
3 years ago
7

3√7 please help I dont understand

Mathematics
1 answer:
UNO [17]3 years ago
8 0
What is log675 with base 5 × log 3 with base 3?
We have to calculate (log 675 to the base 5) × (log 3 to the base 3)

Note the following important points :

(1.) log 675 to the base 5

=> log 675 to the base ‘e’ / log 5 to the base ‘e’

=> ln 675 / ln 5

Since 675 = 5^2 × 3^3

=> ln 675 = ln [5^2 × 3^3]

=> ln (5^2) + ln (3^3)

=> 2 ln 5 + 3 ln 3

Hence, log 675 to the base 5

= ln 675 / ln 5

= [2ln 5 + 3ln 3] / ln 5

(2.) Similarly, log 3 to the base 3

=> Since the logarithm of any natural number 'x' to the base of same number 'x' is always 1 (since any natural number raised to the power '1′ is equal to the same number) ,

Thus, (log 3 to the base 3) = 1

Hence, our problem reduces to:

(log 675 to the base 5) × (log 3 to the base 3)

=> [(2ln 5 + 3ln 3) / ln 5] × (1)

=> (2ln 5 + 3ln 3) / ln 5

=> So we only require the values of natural logarithm of 3 and 5 :)

We should remember these values, or we can always use log table.

Since ln 3 = 1.098

and ln 5 = 1.609

=> 2ln 5 = 2(1.609) = 3.218

=> 3ln 3 = 3(1.098) = 3.294

Hence,

solution : (3.218 + 3.294) / 1.609

=> 6.512 / 1.609

=> 4.047

GLAD TO HELP YOU ;))
You might be interested in
Solve x^2-3x-20=8 for quadratic equation​
snow_lady [41]

Answer:

x = -7

x = 4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I need help please and thank you
algol13

Answer:

If one angle of a triangle is 110 deg and the other two angles are both 35 deg, then the figure is an obtuse isosceles triangle.

4 0
3 years ago
What is the surface area of a sphere with radius 2
Gelneren [198K]

Answer:

A

Step-by-step explanation:

The surface area (A) of a sphere is calculated as

A = 4πr² ← r is the radius

here r = 2, hence

A = 4π × 2² = 4π × 4 = 16π units² → A

3 0
3 years ago
Find the value of x, y, and z in the parallelogram below.
telo118 [61]

The values of x, y, and z of the parallelogram are -19°, -115° and 27°

<h3>What is a parallelogram?</h3>

A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.

for a parallelogram opposite angles are equal

-4x -1 = 75

-4x = 76

x = 76/-4

x = -19°

sum of adjacent angles are supplementary

(-y-10) + 75 = 180

-y + 65 = 180

-y = 180 - 65

-y = 115

y = -115°

Also

4z - 3 + 75 = 180

4z + 72 = 180

4z = 180 - 72

4z = 108

z = 108/4

z = 27°

In conclusion, the values of x = -19, y = -115, z = 27

Learn more about Parallelogram: brainly.com/question/20526916

#SPJ1

8 0
1 year ago
When b &gt; 0 and d is a positive integer, the expression (3b)^2÷d is equivalent to what?
tensa zangetsu [6.8K]
9x squared over d 
hope this helps:)
5 0
3 years ago
Other questions:
  • How do I solve this???
    12·2 answers
  • Suppose triangle A B C is similar to triangle P Q R. Also, angle A measures 45° and angle B measures 60°.
    14·1 answer
  • Expand the following logs: <br><br> <img src="https://tex.z-dn.net/?f=log_%7B2%7D%20%5Csqrt%7Bab%5E%7B3%7D%20%7D" id="TexFormula
    9·1 answer
  • What is the volume of this solid? Use 3.14 for pi. 37.68 cm³ 138.16 cm³ 169.56 cm³ 207.24 cm³ A solid consisting of a cone on to
    13·2 answers
  • Harshdeep was playing basketball with his friends with seconds left before the game ended he attempted a 3 point shot the follow
    5·1 answer
  • Leigh plans to estimate the area of the figure on the grid by identifying the full and partial squares that make up the figure.
    14·1 answer
  • DUE TODAY! WILL
    15·1 answer
  • On a package of rice the directions say that the ratio of cups of water to cups of uncooked rice should be 5:3 Susan is confused
    8·1 answer
  • I need someone to get on my work and help me get caught up reward is brainlest
    15·2 answers
  • Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!