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valkas [14]
1 year ago
6

If log (m + n) = log m+log n, show that m =n/n-1​

Mathematics
1 answer:
Sedbober [7]1 year ago
3 0

log (m + n) = log m+ log n and proved it m =n/n-1​

Given;

If log (m + n) = log m+ log n

To show that the m =n/n-1​

Now, According to the question:

We know that,

Log (m + n) = log m + log n

Log (m + n ) = log (mn).                 [log a + log b = log ab ]

Cancelling the log on both sides.

then,

m + n = mn

=> n = mn - m

=> n = m (n - 1)

=> m = n / n - 1

Hence Proved

log (m + n) = log m+ log n and proved it m =n/n-1​

What is Logarithm?

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2.

Learn more about Logarithm at:

brainly.com/question/16845433

#SPJ1

 

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Gizmo can eat 2 bowls of kibbles in 3 minutes. Leo can eat one bowl of kibbles in 6 minutes. Together, how many bowls of kibbles
Westkost [7]
Gizmo eats two bowls in 3 minutes, which means in a minute he would eat a fraction of 2/3 of the bowl.
On the other hand, leo eats one bowl in 6 minutes hence in a minute he eats a fraction of 1/6 of a bowl. 
When both combine, then in one minute they can eat a fraction of 2/3+1/6= 5/6.
Therefore, in ten minutes they will take 10× 5/6 = 8.333 equivalent to 8 bowls and a third of a bowl
4 0
2 years ago
Read 2 more answers
NEED HELP PLEASE!!!! (10 PTS)
slavikrds [6]
Tigers:-

f(t)  = 7(1 + 0.1)^2   where t = number of years

Eagle 

g(t)  =  15 + 2t


B  after ten year  number tigers = f(t) = 7(1 + 0.1)^10  =   18

  number of eagles = 15 + 10(2) = 35

C when the number of tigers = number eagles the 2 functions will be equal;-

f(t) = g(t)  that is:-

7* 1.1^t  = 15 + 2t

solve for t
5 0
3 years ago
Can anyone help me with this math problem plss?
gulaghasi [49]

Answer:

14/24 ( simplified = 7/12)

Step-by-step explanation:

to find this we multiply the fractions 2/3 and 7/8

7/8 x 2/3 = 14/24

So Shannon ate 14/24 lb

You can simplify to = 7/12

3 0
2 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
BabaBlast [244]

Hey!

Weight of small box = 5 lb. x no. of small boxes total weight = 5*x

Weight of Large boxes = 12 lb. y no. of large boxes total weight = 12*y

Total weight = 5x + 12y.

Since total weight carrying capacity of shelf is 80, thus the inequality becomes:

5x + 12y Less than or equal to 80.

(a) satisfies the inequality.

(b) satisfies the inequality.

Hope my answer helps!

7 0
3 years ago
3) Last year Kerry’s take home pay was £15 000 She spent 40% of her take home pay on rent. She used the rest of her take home pa
gregori [183]
3,000. You take 15,000 and multiply by .4 to get how much she spent on rent (6,000). They you subtract the rent money from her total pay to get her money that she spent on living expenses, clothes and entertainment in total (9,000). Since she spent her money in six parts (3+2+1), you divide 9,000 by 6 to get 1,500 to get each part. Since for entertainment she has two parts you multiply 1,500 by 2 to get 3,000.
4 0
3 years ago
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