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
zvonat [6]
2 years ago
14

Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
5 0

Answer:

x=\frac{1}{4}

Step-by-step explanation:

<u>Given:</u>

2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)

<u>Use the Power Rule Law:</u>

log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)

<u>Use the Quotient Rule Law:</u>

log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})

<u>Use the Product Rule Law:</u>

log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})

<u>Simplify:</u>

log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})

\frac{4}{9}=\frac{8\sqrt{x}}{9}

4=8\sqrt{x}

\frac{4}{8}=\sqrt{x}

\frac{1}{2}=\sqrt{x}

\frac{1}{4}=x

You might be interested in
Given that in isosceles △ABC , base BC¯¯¯¯¯, BE¯¯¯¯¯⊥AC¯¯¯¯¯, and CF¯¯¯¯¯⊥AB¯¯¯¯¯, which of the following proves that BE¯¯¯¯¯≅CF
Naddik [55]

Answer:

cf--__ lab _Ab is the answer total

Step-by-step explanation:

simple

5 0
2 years ago
Plz explain <br> Math question
CaHeK987 [17]

Answer:

subtract the amount of money ellen has by the amount of money she would have if she did it in her firends bank

Step-by-step explanation:

basically you do two intrest questions subtract and boom also...

GIVE ME BRAINLIEST AND HAVE A NICE DAY

5 0
3 years ago
What is the length of side c, given a = 10, b = 8, and c = 105°?
posledela
We can calculate using cosinus method in triangle
c² = a² + b² - 2ab cos c

Plug in the number to the formula
c² = a² + b² - 2ab cos c
c² = 10² + 8² - 2(10)(8) cos 105°
c² = 100 + 64 - 160 cos 105°
c² = 164 - 160 (-0.26)
c² = 164 + 41.6
c² = 205.6
c = √205.6
c =14.34

C is 14.34 unit length
5 0
3 years ago
(5x+1)(5x-1) combine terms
Alinara [238K]

Answer:

25x^2 -1

Step-by-step explanation:

If you multiply parentheses:

(5x*5x) + (5x*-1) + (1*5x) + (1*-1)

25x^2 - 5x + 5x -1

25x^2 -1

A simpler way is to memorize this formula

(Square1 - square2)= (sqrt of square1- sqrt of square2)*(sqrt of square1 + sqrt of sqaure2)

5 0
3 years ago
Can someone help me please.
Sholpan [36]

Answer:hello

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • If a dozen eggs cost $1.35, what is the unit cost?
    14·1 answer
  • A basketball court is shaped like a rectangle. It has a perimeter of 288 feet. The width of the court is 50 feet. What is the le
    8·2 answers
  • Select the two pairs of figures that are similar.
    15·1 answer
  • iris charges $50 for her consulting services plus $60 for each hour she works. on one job, iris charged $470. for how many hours
    5·2 answers
  • (HELP PLEASE)
    10·1 answer
  • Can somebody please help me with this.!
    8·2 answers
  • Pls help due today just need 9,10 and 11
    11·1 answer
  • A pump fills a pool at a constant rate. At the end of 4 minutes it has filled 16 gallons of water. Which table represents the re
    7·1 answer
  • Need help with solving this please
    6·2 answers
  • 1 5/12 + 2 2/3 + 3 1/4
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!