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
Andrei [34K]
4 years ago
13

What is the solution to 2log9(x)=log^9(8)+log9(x-2)

Mathematics
2 answers:
enyata [817]4 years ago
3 0
2log9(x)=log^9(8)+log9(x-2)

Log₉x² = log₉8 + log₉(x-2)


Log₉x² = log₉(8×(x-2))

Log₉x² = log₉8x-16

Log₉x² - log₉8x-16 = 0

Log₉(x²/(8x-16)) = 0

x²/(8x-16) = 9°

x² = 1 × 8x-16

x²-8x+16 = 0

x²-4x-4x+16 = 0

x(x-4)-4(x-4) = 0

(x-4)(x-4) =0

Therefore x = 4.....
7nadin3 [17]4 years ago
3 0

Answer:

X= 4

Step-by-step explanation:

You might be interested in
Given the initial inequality −4 (7)<br> c. (−4) = (7)
Katen [24]

Answer:

Step-by-step explanation:

Simplify 4*(7-c)

4

⋅

(

7

−

c

)

4

⋅

(

7

-

c

)

Apply the distributive property.

4

⋅

7

+

4

(

−

c

)

4

⋅

7

+

4

(

-

c

)

Multiply.

Tap for more steps...

Multiply 4

4

by

7

7

.

28

+

4

(

−

c

)

28

+

4

(

-

c

)

Multiply

−

1

-

1

by

4

4

.

28

−

4

c

28

-

4

c

28

−

4

c

6 0
3 years ago
Read 2 more answers
Solve for x.
Masteriza [31]

Answer:

x = 2.5 or -0.8

Step-by-step explanation:

Here, we are to use completing the square method to solve for the values of x

Firstly, we divide through by 4

= x^2 -7/4x -2 = 0

Now, we move the two term to the right hand side

x^2 -7/4x = 2

Now, we divide the coefficient of x by 2 and square it;

That would be;

(-7/4 * 1/2)^2 = 49/64

we now add this value to both sides of the equation

x^2 -7/4x + 49/64 = 2 + 49/64

The right hand side can be rewritten as;

(x-7/8)^2 = 177/64

taking the square root of both sides

x-7/8 = √(177/64)

x = 7/8 ± √(177/64)

x = 7/8 + √(177/74) or 7/8 - √(177/64)

= x = 2.53802 or -0.788017

Which to the nearest tenth is

x = 2.5 or -0.8

7 0
3 years ago
What is 2819 divided by 55
MaRussiya [10]

Answer:

51.2545454545

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the percentage:<br><br> 16 out of 20
gtnhenbr [62]
16/20= .80
.80 x 100%
=80%
3 0
4 years ago
Write in expanded form 5,002,190
makvit [3.9K]
5,000,000+2,000+100+90
5 0
3 years ago
Read 2 more answers
Other questions:
  • An element with mass 780 grams decays by 16.3% per minute. How much of the element is remaining after 16 minutes, to the nearest
    9·1 answer
  • Joe and Maggie are working at McDonald's joe make $8.50 per hour while Maggie makes $9.00 per hour. How much would they both mak
    5·2 answers
  • tim ate four more cookies than Alice. Bob ate as many cookies as tim.If x represents the number of cookies Alice ate,which expre
    15·2 answers
  • F(x)= 2x + 13 and g(x) = 5x -20 what is g(x) - f(x)
    10·1 answer
  • 6.81 The length of time between breakdowns of an es- sential piece of equipment is important in the decision of the use of auxil
    9·1 answer
  • (3 x (6 + 4) - 22] x 2 = ?
    12·1 answer
  • The graph shows Allison's distance as she swam during her swim practice.
    7·1 answer
  • Plz help it’s due rn!!
    5·1 answer
  • Kenna's is earning money. The following equation models her earnings: y=55x+1300
    7·1 answer
  • Suppose the following number of defects has been found in successive samples of size 100: 6, 7, 3, 9, 6, 9, 4, 14, 3, 5, 6, 9, 6
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!