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
Leni [432]
3 years ago
8

Write expression as the logarithm of a single number log6 + log8 - log2

Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0
<h2>log (6 ) + log ( 8 ) − log ( 2 ) </h2><h2 /><h2>  Answer:</h2>

Exact Form:    ㏒ ( 24 )

Decimal Form:    1.38021124


<h2>Explanation:</h2><h3>                            Use the product property of logarithms,  </h3>

                                ㏒b ( x)  +  ㏒b ( y )  =  ㏒b ( x y ).

                                 ㏒ ( 6 ⋅ 8 ) −  ㏒ ( 2 ) .


<h3>                         ⇒Use the quotient property of logarithms,</h3>

                                 ㏒ b ( x ) − ㏒ b ( y ) = ㏒ b ( x y ) .

                                 ㏒ ( 6 ⋅ 8/ 2 )

<h3>                          ⇒Reduce the expression by cancelling the common factors. </h3>

                                Factor  2  out of  6 ⋅8 .

                                log ( 2 ( 3 ⋅ 8 )  / 2 )

<h3>                             Divide  3 ⋅ 8   by  1 .</h3>

                                ㏒ ( 3 ⋅ 8 )

                                Multiply  3  by  8 .

                                 ㏒ ( 24 )

<h3>The result can be shown in both exact and decimal forms. </h3><h3>                            Exact Form:  ㏒ ( 24 ) </h3><h3>                            Decimal Form:  1.38021124</h3>
You might be interested in
Please answer! I’m desperate lol
WARRIOR [948]

Answer:

a

Step-by-step explanation:

just did this last period

8 0
3 years ago
Read 2 more answers
Order the fractions below from least to greatest.<br> 1/2, 2/3, 1/4, 5/6
Natali [406]
1/4 , 1/2 , 2/3 , 5/6

I hope I helped you with your question
6 0
3 years ago
Read 2 more answers
Prove that in any triangle the length of a side is less than the half of the perimeter in statement reason format.
horrorfan [7]

Answer:

Proved

Step-by-step explanation:

I am going to pose c as the largest side in a random triangle

If so then remember that, by the triangle inequality, a + b > c. Let's start from there...

Statement:                         |                                  Reasoning:

1. a + b > c                                                             1. Triangle Inequality

2. a + b + c > c + c (adding c on both sides),      2. Algebra + Def. Of Perimeter

   a + b + c > 2c (simplified)

   Perimeter > 2c (definition of perimeter)

   c < 1/2 * Perimeter

3 0
3 years ago
It is believed that 11% of all Americans are left-handed. In a random sample of 100 students from a particular college with 1012
tia_tia [17]

Answer:

Step-by-step explanation:

We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'

Where p' = 14/100= 0.14 (no of left handed sample promotion)

q' = 1-p' = 1-0.14= 0.86

Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326

Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)

= -2.186√0.00325

= -2.186*0.057

= 12.46%

Using p' + z alpha √(p'q'/n)

0.14+2.326√(0.14*0.86/100)

= 0.466*0.057

= 26.5%

Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.

6 0
3 years ago
Equations practice with angles Geometry. Can anyone help me please, im stuck....​
Bas_tet [7]

Same as the last one ! Review your parallel lines, and you'll see that angles A and B have to be equal. So you solve it EXACTLY the same way as the last one.

You say "A equals B", and that means that

8x - 10 = 3x + 90

Solve that to find x (it's 20),

and then use x to find angle B (it's 150; they both are).

(Don't just take my word for it. Please work it through.)

3 0
3 years ago
Other questions:
  • B. His sister, Janine, used a light bulb that consumed 6080 joules of energy in 190
    14·1 answer
  • Change 6/1/4%to a fraction
    6·1 answer
  • Factorize 27x^3-16y^3
    6·1 answer
  • I don’t know what to do
    10·1 answer
  • jack determined that his aunts age is 8 less than 2 times his age . if x represents jacks age write a linear expression
    12·1 answer
  • Why are people at new madrid bend youth center so hurtful
    13·1 answer
  • Unit rate 40 meters in 60 seconds
    13·1 answer
  • Iverse of f (x)= 3x​
    12·1 answer
  • A sign says that the price on all music equipment is 30% off the original price. you buy an electric guitar for the sale price o
    11·2 answers
  • 2. Here is an inequality on a number line.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!