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
You simultaneously flip a pair of fair coins. Your friend gives you one dollar if both coins come up heads. You repeat this ten
sergey [27]

Answer:

E(X) = $2.5

P(Worst than Average) = 0.072

Step-by-step explanation:

I have solved this problem on paper. (Attached)

5 0
3 years ago
In 2013, the world’s total output (real gdp) was roughly $73 trillion. what percentage of this total was produced:
KiRa [710]
The GDO these 3 countries respectively are $ 16.8 trillion, $ 9.2 trillion and $ 4,9 trillion. so the sum of the GDPGDP total = 16.8 + 9.2 + 4.9= 30.9
hence the percentage of the total output of the 3 largest economies is as follows:percentage = ( total gdp / total output of the world ) x 100
percentage = ( 30.9 / 73 ) x 100percentage = 42.33 %
3 0
4 years ago
If G is the midpoint of FH, FG= 14x + 25 and GH = 73- 2x, find FH
Alenkinab [10]
Given that G is the midpoint of FH, then:
FG=GH
hence;
14x+25=73-2x
solving for x we get:
14x+2x=73-25
16x=48
x=48/16
x=3
therefore the length FG=14x+25 will be:
14*3+25
=67
hence FH will be:
FH=67*2=134
4 0
3 years ago
Sophia is designing a piece of square art that must be four feet on each side. Which method could she use to most accurately det
vagabundo [1.1K]

Answer:

sophia could use a ruler with centimeter markings to measure the artwork.sophia could use a 10' long tape measure to measure the artwork.sophia could use a scale to measure the artwork.sophia could count the number of steps it takes to walk around the artwork.

Step-by-step explanation:

7 0
3 years ago
I need the answers pls!!!!<br>please​
Igoryamba

Answer:

(4x - 3)(5x - 8) = 20x^2 -47x + 24

Step-by-step explanation:

Given

(4x - 3)(5x - 8)

Required

Identify and correct error

The error is when the inner and outer terms are multiplied. i.e.

4x * -8 = -32x not 32x

-3 * 5x = -15x not 15x

So, the expression is:

(4x - 3)(5x - 8) = 20x^2 - 32x -15x + 24

(4x - 3)(5x - 8) = 20x^2 -47x + 24

6 0
3 years ago
Other questions:
  • Given: 2x + 3y= 6. When xhas a value of zero, the y value is 2. true or false<br>​
    5·1 answer
  • What happened when the tree saw the ghost? I just downloaded this app for the answers soo some one please save me
    14·1 answer
  • If 5x+2=12,then 3x=?​
    12·2 answers
  • What is the object distance? you will need to use the magnification equation to find a relationship between s and s′. then subst
    10·1 answer
  • Tickets to a movie cost $7.25 for adults and $5.50 for students. a group of friends purchased 8 tickets for $52.75. write a syst
    7·1 answer
  • Name the corresponding part if RST WXY.∠ R <br><br>∠ R =
    12·1 answer
  • What is the common factors of 74.48 And 52.50
    14·1 answer
  • What are the distance between the pair of points E(-5,4) and F(6, 4)
    9·1 answer
  • Help me pleaseeeeeeeeee
    5·1 answer
  • Sphere: a. r = 2 b. r = 4. c. In a and b, the radius of b is twice the radius of a. Is this also true for the volume of a sphere
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!