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
mihalych1998 [28]
3 years ago
11

Rewrite the following expression using the properties of logarithms. log2z+2log2x+4log9y+12log9x−2log2y

Mathematics
1 answer:
kramer3 years ago
5 0
Use the rules of logarithm:
1. log(x)+log(y)=log(xy)
    log(x)-log(y)=log(x/y)
2. k*log(x) = log(x^k)
    log(x)/k = log(x^(1/k))

<span>log(2z)+2log(2x)+4log(9y)+12log(9x)−2log(2y)
=</span>log(2z)+log(4x^2)+log(9^4y^4)+log(9^12x^12)−log(4y^2)
=log(2z)+log(4x^2)+log(6561y^4)+log(282429536481x^12)−log(4y^2)
=log(59296646043258912 * x^14 * y^6 * z)
You might be interested in
Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.
umka21 [38]

<u>Given</u>:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= \frac{4.4}{2}

= 1.1 (%)

Time will be:

= 20\times 2

= 40 \ periods

As we know the formula,

⇒ Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}

By substituting the values, we get

                   8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}

                   8375=\frac{Face \ value}{(1.022)^{40}}

                   8375=\frac{Face \ value}{2.3880083}

The face value will be:

        Face \ value = 2.3880083\times 8375

                           =20,000 ($)

Learn more about face value here:

brainly.com/question/14862802

5 0
3 years ago
Randy buys gas at a store that charges $3 per gallon. Sarah buys gas at a different store. The table shown here gives the cost w
marin [14]
Where is the table??
5 0
3 years ago
Calculating the Measures of Interior Angles of a Triangle
Lubov Fominskaja [6]
Angle B is the linear pairs with 60°, so the size is 180-60=120°

Angle ABC is the linear pair with 120°, so the size is 180-120-60°

Angle A corresponds to angle 60°, so they are equal

Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°

Angle ACB is 180-(50+60) = 70°

6 0
3 years ago
Read 2 more answers
What is the arc measure of BAD on circle P in degrees?
lianna [129]

Answer:

244

Step-by-step explanation:

74+42=116

360-116=244.

5 0
3 years ago
Kate baked a rectangular cake for a party she used 42 inches of frosting around the edges of the cake if the cake was 9 inches w
Leno4ka [110]
9 + 9 = 18
42 - 18 = 24
24 / 2 = 12
the length is 12 inches
7 0
3 years ago
Other questions:
  • 4.07, 4.070, 4.70, 4.0700 what value is not equivalent.
    13·2 answers
  • BRAINLIESTTTT ASAP! PLEASE ANSWER
    7·2 answers
  • Whatbnis made up of a whole number and a fraction
    11·1 answer
  • clay is reading a map to decide his vacation route. The map has a scale of 1cm equals 18miles. If he estimates the length of his
    7·1 answer
  • ***urgent***
    11·1 answer
  • Must a deciimal divisor and a decimal dividend have the same number of decimal places in order to have a whole number quotient ?
    11·1 answer
  • Explain how the number of pieces in a whole relates to the size of each piece
    15·2 answers
  • Two pentagons are similar with a scale factor of 3/7
    9·1 answer
  • A) What is the radius of a circle that has an approximate circumference of 81.64 meters?
    15·1 answer
  • What is the sum of -6 and its opposite?<br><br> A. -12<br> B. -6<br> C. 0<br> D. 6
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!