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
valina [46]
3 years ago
6

[50 POINTS!!!] HELP! Solve This Logarithm. Find X. Please Type Steps!

Mathematics
2 answers:
Verdich [7]3 years ago
7 0

Answer:

<h2>x = 15</h2>

Step-by-step explanation:

\text{Domain:}\ x>0\\\\\log_83+\dfrac{1}{2}\log_825=\log_8x\qquad\text{use}\ n\log_ab=\log_ab^n\\\\\log_83+\log_825^\frac{1}{2}=\log_8x\qquad\text{use}\ a^\frac{1}{2}=\sqrt{a}\\\\\log_83+\log_8\sqrt{25}=\log_8x\\\\\log_83+\log_85=\log_8x\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_8(3\cdot5)=\log_8x\\\\\log_815=\log_8x\iff15=x\to x=15\in D

gogolik [260]3 years ago
3 0

Answer:

Your answer would be x = 15

I hope his helped and have a wonderful day!

~Real

You might be interested in
a snail going full speed was taking 1/8 of a minute to move 1/7 of a centimeter. at this rate, how long would it take the snail
Lana71 [14]
It will take 7/8 of a minute because you just multiply 1/8 by 7
4 0
3 years ago
Read 2 more answers
For every 6 cups of flour in bread recipe there are 2 cups of milk
Aloiza [94]

Answer:

3

Step-by-step explanation:

3

7 0
3 years ago
Make three contrectic circles with radius is 2.4cm,3.8cm and 5.4cm​
wariber [46]

Answer:

uxuccyccvivvivucyxtc

8 0
3 years ago
Please help. Don’t understand this math problem!
oksian1 [2.3K]

Answer:

  { 4 }

Step-by-step explanation:

First you need to solve the equation. Then you need to write the solutions as a set.

__

I like to use a graphing calculator to solve equations involving roots. That helps avoid extraneous solutions. Here, the graph of the left side intersects the graph of the right side at x=4. There is exactly one solution, so the solution set is ...

  { 4 }

__

Solving this algebraically, you would isolate the radical, then "undo" it by squaring both sides of the equation. Then solve the resulting quadratic. That will have 2 solutions, only one of which will work in the original equation.

  √(5x +16) -2 = 3x -8 . . . . given

  √(5x +16) = 3x -6 . . . . . .  add 2

  5x +16 = (3x -6)^2 . . . . .  square both sides

  5x +16 = 9x^2 -36x +36 . . . . expand the square

  9x^2 -41x +20 = 0 . . . . . . subtract (5x+16) to put into standard form

Factors of 9·20 = 180 that have a sum of 41 are 5 and 36, so we can rewrite this equation as ...

  9x^2 -36x -5x +20 = 0

  9x(x -4) -5(x -4) = 0 . . . . . . factor by pairs

  (9x -5)(x -4) = 0

The values of x that make this equation true are the values that make the factors be zero: 5/9 and 4. Trying these in the equation, we find ...

  √(5(5/9) +16) -2 = 13/3 -2 = 2 1/3 . . . . value of the left side for x = 5/9

  3(5/9) -8 = -6 1/3 . . . . . . value of the right side for x=5/9; not the same

  x = 5/9 is NOT A SOLUTION

__

  √(5(4)+16) -2 = √36 -2 = 4 . . . . value of the left side for x = 4

  3(4) -8 = 12 -8 = 4 . . . . . . value of the right side for x=4. These are the same, so ...

  x = 4 is a solution

The set of solutions is then ...

  { 4 } . . . . . solution set

5 0
3 years ago
Danielle wants to divide her square garden in half diagonally. If each side of the garden is 18 feet, what is the length of the
bija089 [108]

Answer:

25.46

Step-by-step explanation:

Use the pythagorean thereom.

18^2 + 18^2 = c^2

324 + 324 = c^2

648 = c^2

√648 = c

c ≈ 25.46




3 0
2 years ago
Other questions:
  • Abigail drove 84 miles in 4 hours. If she continued at the same rate, how far would she travel in 14 hours?
    7·2 answers
  • Identify the relationship between the graphs of
    5·1 answer
  • There are 144 people in an audience. The ratio of adults to children is 5 to 3. How many are adults?
    7·2 answers
  • Select the expression that makes the equation true.
    10·1 answer
  • What is 27/6 written as a decimal?<br><br> 4.2<br> 4.3<br> 4.4<br> 4.5
    7·1 answer
  • Lisa purchased almonds for $3.50 per pound. She spent a total of $14.70. How many
    13·2 answers
  • Please help I’ll give brainliest
    13·1 answer
  • Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?
    12·1 answer
  • An investment of $1,000 is earning interest at the rate of 3.8% compounded daily over 3 years. Approximately how much interest i
    6·1 answer
  • I need the answer help as soon as possible
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!