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
SpyIntel [72]
3 years ago
11

Evaluate : A.

n="absmiddle" class="latex-formula">
B. 4^x +6^x =9^x
Mathematics
1 answer:
sdas [7]3 years ago
7 0

Answer:

<h3>A. </h3>
  • x^{x^3} = 3
  • log x^{x^3} = log 3
  • x³ log x = log 3
  • 3x³ log x = 3 log 3
  • x³ log x³ = log 3³
  • x^3^{x^3} = 3³
  • x³ = 3
  • x = 3^{1/3}
<h3>B.</h3>
  • 4ˣ + 6ˣ = 9ˣ
  • 2²ˣ + 2ˣ3ˣ = 3²ˣ

<u>Divide both sides by 2²ˣ</u>

  • 1 + (3/2)ˣ = (3/2)²ˣ

<u>Substitute (3/2)ˣ = t</u>

  • t² - t - 1 = 0

<u>Solve for t:</u>

  • t = (1  ± √5)/2

<u>Positive root is considered as (3/2)ˣ can't be negative.</u>

  • (3/2)ˣ = (1 + √5)/2
  • x = log [(1 + √5)/2] / log (3/2)
  • x = 1.18681439028

You might be interested in
In the given diagram , TY is a tangent to the circle TVS . If &lt;SVT = 48° and |VS| = |ST| . What is &lt; VTY.​
ycow [4]

Answer:

  • 84°

Step-by-step explanation:

∠VTY is the tangent chord angle

  • Tangent chord angle is the half of the intercepted arc

∠TSV is the inscribed angle.

  • Inscribed angle is the half of the intercepted arc

<u>Since both of the mentioned angles refer to same arc, they are of same value.</u>

  • ∠VTY = ∠TSV

ΔTVS is isosceles as VS = ST, therefore the opposite angles are same.

  • m∠T = m∠V = 48°

<u>The measure of angle S</u>

  • m∠S = 180° - 2*48° = 84°

<u>The required angle</u>

  • m∠VTY = 84°
4 0
3 years ago
Read 2 more answers
What is the sum of 12-5¡ and -3+4¡
Goshia [24]

Answer:

8

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Name the kind or kinds of symmetry the following figure has: A
denpristay [2]
It is a straight line of symmetry because if you have a paper A and you fold it, it will form a straight line, and that is also meaning a straight line of symmetry. If you fold it any other way, it will not be a line of symmetry.

Hope this helps you ;)
6 0
3 years ago
HELP ASAPPPPPPPPPPPPPPPPP
eimsori [14]

Answer:

b. Kilograms

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A sprinkler that sprays waiter in a circular area
kumpel [21]

Can you put more of the question

8 0
3 years ago
Other questions:
  • If you roll a fair six-sided die and a fair four-sided die, what is the probability that neither die shows a 1
    8·1 answer
  • Suma a trei numere este 30. Primul numar este de doua ori mai mare decat triplul celui de-al treilea numar si de doua ori mai ma
    14·1 answer
  • The product of twice a number and four is the same as the difference of seven times the number and 4/9. Find the number.
    9·1 answer
  • 1) Solve the system by elimination?
    5·1 answer
  • On a map 2 centimeters represents 100 kilometers. How much of a centimeter represents 20 kilometers?
    9·2 answers
  • Brianna has a sheet of paper that is 6 feet long.she cuts the length of paper into sixth and then cuts the length of each of the
    12·1 answer
  • Three cubic feet of seawater weighs 192 pounds.
    5·2 answers
  • The linear regression line for Tampa Tribune Database is y=8x+367. In approximately what year is the Tampa Tribune expecting to
    6·1 answer
  • What is the area, in square centimeters, of the figure below?
    5·2 answers
  • HELP PLS LAST ONE<br> Simplify (4y³ – 2y +9) − (2y³ − 3y² + 4y + 7).
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!