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
AlladinOne [14]
3 years ago
6

X^lg(x)=100^x find x

Mathematics
1 answer:
Wittaler [7]3 years ago
3 0

x^lg(x)=100^x<span>
</span>


X^lg(x)=100^x:x  |Solve \ for \ x|


<span>|Use \ logarithms \ of \ both \ sides \ of \ the \ base \ 10|&#10;&#10;</span>

<span>
</span>

<span>lg (x ^ lg (x)) = lg (100x)&#10;&#10;</span>

<span>
</span>

<span>lg ^ 2 (x) = 2 + lgx</span>

<span>
</span>

lg 2 ^ x-lg x -2 = 0


lg x = 2 x = 100


lg x = -1 x = \dfrac{1}{10} = 0.1

You might be interested in
X - y = 4
IrinaK [193]

Answer:

3. 6

Step-by-step explanation:

X - y = 4 ( Equation 1 )

X + y =8 ( Equation 2 )

equation 1 + equation 2

; 2x = 12

x = 12÷2

x =6

hope it helps ☺️

8 0
2 years ago
Read 2 more answers
Please help me !!!!!
notka56 [123]

Answer:

the answer is 12

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which table represents a direct variation function? A table with 6 columns and 2 rows. The first row, x, has the entries, negati
IceJOKER [234]

Answer:

The correct option is;

A table with 6 columns and 2 rows. The first row, x, has entries, negative 3, negative 1, 2, 5, 10. The second row, y, has entries, negative 7.5, negative 2.5, 5.0, 12.5, 25

Please find attached the graphs of the table data

Step-by-step explanation:

Each of the given table data of in the tables are analysed to find direct variation;

Table 1

x,               -3,                 -1,                 2,                5,                10

y,              -4.5,              -3.0,             -1.5,             0.0,              1.5              

-4.5/-3  = 1.5 ≠ -3.0/-1 = 3

No direct variation

Table 2      

x,             -5.5,               -4.5,            -3.5,            -2.5,             -1.5

y,              10,                   8,                 6,              4,                  2

10/(-5.5) = -20/11  ≠ 8/(-4.5) = -16/9

However, 10/(-5.5 + 0.5) = -2 = 8/(-4.5 + 0.5) = -2

Adjusted direct variation

Table 3              

x,              -5.5,               -5.5,             -5.5,           -5.5,            -5.5

y,              -3,                    -1,                 2,                5 ,              10                  

-3/(-5.5) ≠ -1/-5.5

No direct variation

Table 4

x,              -3,                    -1,                2,                  5,             10

y,              -7.5,                 -2.5,            5.0 ,              12.5,         25  

 -7.5/-3 = 2.5 = -2.5/(-1) = 5.0/2 = 12.5/5 =25/10

Direct variation exists        

8 0
3 years ago
Read 2 more answers
Write 1 1/3 as a percent
Assoli18 [71]

Answer:

1.3

Step-by-step explanation:

⅓ put into to decimal form is a repeating decimal

5 0
1 year ago
Read 2 more answers
What are the coordinates of the midpoint of the line segment with endpoints R(4, -7) and S(-3, 5)?
bezimeni [28]

Answer:

  (1/2, -1)

Step-by-step explanation:

The midpoint is the average of the end points:

  M = (R + S)/2 = ((4, -7) + (-3, 5))/2 = ((4-3)/2, (-7+5)/2) = (1/2, -2/2)

  M = (1/2, -1)

5 0
3 years ago
Other questions:
  • A cylinder is 8 inches high. The circumference of the base 6pi inches. Find the volume
    7·2 answers
  • Maury completed a bicycle race 1.5 hours faster than Vince at an average speed of 16 miles per hour. Vince completed the same ra
    6·1 answer
  • is $20000 is invested for at 8% interest, compounded quarterly, find the interest earned in 25 years.​
    12·1 answer
  • "The product of 4 and a number plus 17 is 5"<br> -translate and solve
    15·1 answer
  • Suppose Maya made another sign with an area of 48 square inches. Would this sign be larger or smaller than the sign with an area
    8·1 answer
  • Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts if the posts are evenly spaced,
    6·1 answer
  • Use elimination to solve and match each system of equations to the correct solution. 3x+y=11 5x-y=21 Help with this one I’ll giv
    10·1 answer
  • Which shows the correct way to use expanded form to multiply 38,070 × 100?
    14·1 answer
  • Fill in each blank with a true statement
    12·1 answer
  • The average speed of a car on a stretch of interstate is 70 miles per hour. Convert this rate to feet per second.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!