Condense the following expression (In24 - 3In2)

Answers

Answer 1

Answer: remember
lna-lnb=ln(a/b)
and
xlna=ln(a^x)

so

ln24-3ln2=
ln24-ln2^3=
ln24-ln8=
ln(24/8)=
ln3

Related Questions

Break Apart ones to make a ten. Then add and write the sum. 62 + 9 =
What is the solution to the equation?1/8 = m/32
What is 10+10 but multiplied by 10
Gloria says the two expressions 1/4(12x + 24) - 9x and -6(x + 1) are equivalent. Is she correct? Explain why or why not.
Y=5x+8. Is this a direct variation?

You have 18 stamps from Mexico in your stamp collection. These stamps represent 38 of your collection. The rest of the stamps are from the United States. How many stamps are from the United States?

Answers

It’s 20, 38-18=20 so yea:)

The perimeter of a rectangular picture frame is 30 inches. The length of the frame is three less than twice the width. What are the dimensions of the frame?

Answers

The dimensions are length equal to 9 inches and width equal to 6 inches.

It is given that length of rectangularframe is three less than twice the width and its perimeter is 30 inches.

We have to find out the dimensions of the frame.

What is the perimeter of a rectangle ?

The perimeter of a rectangle is 2 ( b + l ) , where b is width and l is the length of the rectangle.

As per the question ;

Length of rectangularframe is three less than twice the width.

Let's assume width be x.

So ;

Length will be ;

= 2x - 3

We know that ;

Perimeter of a rectangle is given by ;

P = 2 ( b + l )

⇒ 30 = 2 ( x + 2x - 3 )

⇒ 30 = 2 × ( 3x - 3 )

⇒ 30 = 6x - 6

⇒ 6x = 36

⇒ x = 6 inches

So ;

width will be 6 inches and length will be ;

l = 2x - 3

l = 2 × 6 - 3

l = 12 - 3

length = 9 inches

Thus , the dimensions are length equal to 9 inches and width equal to 6 inches.

To learn more about algebra click here ;

https://brainly.in/question/6577457

#SPJ2

Perimeter-30 in
Length-2x-3
Width-x

P=2[l+w]
30=2[2x-3+x]
30=2[3x-3]
30=6x-6
Add 6 to both sides
36=6x
Divide both sides by 6
x=6

Length:9
Width:6

A football field is 300 ft x 160 ft . If A coach ask his players to run from one corner to the opposite corner diagonally, how far will they run

Answers

48000f2t2 pretty sure that is it

Answer: 340

Step-by-step explanation:

What is the factor trees for 81?

Answers

I have attached it:

81
9x9
3x3x3x3
hope that helps

What is the value of t in the equation t−35=-15?

Answers

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

t/15-t/35-(1/15)=0

Step by step solution :Step 1 : 1 Simplify —— 15 Advertising SkipEquation at the end of step 1 : t t 1 (—— - ——) - —— = 0 15 35 15 Step 2 : t Simplify —— 35 Equation at the end of step 2 : t t 1 (—— - ——) - —— = 0 15 35 15 Step 3 : t Simplify —— 15 Equation at the end of step 3 : t t 1 (—— - ——) - —— = 0 15 35 15 Step 4 :Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

      The left denominator is :       15

      The right denominator is :       35

        Number of times each prime factor
        appears in the factorization of: Prime
Factor  Left
Denominator  Right
Denominator  L.C.M = Max
{Left,Right} 310151117011 Product of all
Prime Factors 1535105

Least Common Multiple:
105

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M
    Denote the Left Multiplier by  Left_M
    Denote the Right Multiplier by  Right_M
    Denote the Left Deniminator by  L_Deno
    Denote the Right Multiplier by  R_Deno

   Left_M = L.C.M / L_Deno = 7

   Right_M = L.C.M / R_Deno = 3

Making Equivalent Fractions :

4.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respectiveMultiplier.

L. Mult. • L. Num. t • 7 —————————————————— = ————— L.C.M 105 R. Mult. • R. Num. t • 3 —————————————————— = ————— L.C.M 105 Adding fractions that have a common denominator :

4.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

t • 7 - (t • 3) 4t ——————————————— = ——— 105 105 Equation at the end of step 4 : 4t 1 ——— - —— = 0 105 15 Step 5 :Calculating the Least Common Multiple :

5.1    Find the Least Common Multiple

      The left denominator is :       105

      The right denominator is :       15

        Number of times each prime factor
        appears in the factorization of: Prime
Factor  Left
Denominator  Right
Denominator  L.C.M = Max
{Left,Right} 311151117101 Product of all
Prime Factors 10515105

Least Common Multiple:
105

Calculating Multipliers :

5.2    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M
    Denote the Left Multiplier by  Left_M
    Denote the Right Multiplier by  Right_M
    Denote the Left Deniminator by  L_Deno
    Denote the Right Multiplier by  R_Deno

   Left_M = L.C.M / L_Deno = 1

   Right_M = L.C.M / R_Deno = 7

Making Equivalent Fractions :

5.3 Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num. 4t —————————————————— = ——— L.C.M 105 R. Mult. • R. Num. 7 —————————————————— = ——— L.C.M 105 Adding fractions that have a common denominator :

5.4 Adding up the two equivalent fractions

4t - (7) 4t - 7 ———————— = —————— 105 105 Equation at the end of step 5 : 4t - 7 —————— = 0 105 Step 6 :When a fraction equals zero : 6.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

4t-7 ———— • 105 = 0 • 105 105

Now, on the left hand side, the 105 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
4t-7 = 0

Solving a Single Variable Equation :

6.2      Solve  :    4t-7 = 0

Add  7 to both sides of the equation :
                      4t = 7
Divide both sides of the equation by 4:
                     t = 7/4 = 1.750

24+x=9x+4\times 6
give me the all steps of that equation