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
Dmitry_Shevchenko [17]
3 years ago
7

What are the solutions to ^log6(x^2+8)=1+log6(x)

Mathematics
1 answer:
Firdavs [7]3 years ago
4 0

Answer:

x=2

x=4

Step-by-step explanation:

the range is x>0

Move the expression to the left side and change it's sign to get

log6(x^2+8)-log6(x)=1

using loga(x)-loga(y) = loga (x/y) to simplify log6(x^2+8/x)=1

convert it to exponential form to get x^2+8/x=6

multiply both sides of the equation by x to get x^2+8=6x

move variable to the left

x^2-6x+8

factor out x from the expression

x (x-2) -4 (x-2) =0

factor out x-2

(x-2) x (x-4) = 0

set both equal to 0 and get x=2 x=4

You might be interested in
Hey please help be geniune please help me no links will mark brainliest :( !
djverab [1.8K]

Answer:

71 - Maybe

Step-by-step explanation:

11 x 7 = 77

11 - (4 + 4) = 3

2 x 3 = 6

77 - 6 = 71

8 0
3 years ago
Solve the following system of equations.<br> 4x-2y-z=-5<br> x-3y+2z=3<br> 3x+y-2z=-5
Stels [109]
4x - 2y - z = - 5 ______×2x - 3y + 2z = 3 _______×13x + y - 2z = - 5 ______×1
8x - 4y - 2z = - 10x - 3y + 2z = 33x + y - 2z = - 5
8x - 4y - 2z = - 10(+) x - 3y + 2z = 3_____________9x - 7y = - 77y = 9x + 7y = 9/7x + 1
x - 3y + 2z = 3(+) 3x + y - 2z = - 5_____________4x - 2y = - 24x - 2(9/7x + 1) = - 24x - 18/7x - 2 = - 210/7x = 0x = 0
y = 9/7(0) + 1y = 1
0 - 3(1) + 2z = 32z = 6z = 3
3 0
4 years ago
Find the area of a circle with a radius of 3
ExtremeBDS [4]

Answer: 28.27

Step-by-step explanation: first multiply the radius by itself 3 times 3 = 9

then take 9 and multiply it by 3.14 which is 28.27

hope this helps mark me brainliest

7 0
3 years ago
Read 2 more answers
Consider the partial set of values for the functions f(x) and g(x): what is the value of f/g(1)
Alborosie

9514 1404 393

Answer:

  -4

Step-by-step explanation:

(f/g)(1) = f(1)/g(1) = 4/-1 = -4

__

Read f(1) and g(1) from the table. They are listed in the column with x=1.

4 0
3 years ago
H(t) = -16t^2 + 40t +120
stira [4]

Answer:

h(t) = -16t^2 + 40t + 120

h(t) = -16(t^2 - 5/2*t) + 120

h(t) = -16(t^2 - 5/2*t + (5/4)^2 - (5/4)^2) + 120

h(t) = -16(t^2 - 5/2*t + (5/4)^2 - 25/16) + 120

h(t) = -16(t^2 - 5/2*t + (5/4)^2) + 120 + 25

h(t) = -16(t - 5/4)^2 + 145

The rock needs 5/4 = 1.25 seconds to travel to the highest point wich is 145 m high.


6 0
4 years ago
Other questions:
  • What is 1653 round to the nearest hundred
    7·2 answers
  • Can you guys help me? <br><br> Find the range
    14·1 answer
  • Sue can run 18 miles in 2 hours and can bike 60 miles in 3 hours what percent of sue average biking speed is her average running
    8·2 answers
  • Can someone help and explain this problem to me? I’m stuck
    13·1 answer
  • Solve equation for y 2x-y=3
    5·1 answer
  • What is the perimeter of the triangle is simplest form? Show your work.
    8·2 answers
  • Hector has three weeks
    5·1 answer
  • Select all of the following that represent quadratic expressions:
    13·1 answer
  • Please help, in the middle of test :)
    13·1 answer
  • Statistics from the past ten years predict that the chance of rain on any single day in April in Asha’s hometown is 41%. If Asha
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!