How to write a real-world situation that could be modeled by the equation 3 2/3x=5/6x-7/8?

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

Sedbober [7]

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

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3 0

6 months ago

How is the product of 3 and 2 shown on a number line?

Bas_tet [7]

Answer:

A

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A parallelogram has symmetry with respect to the line that _____.

adelina 88 [10]

A parallelogram has symmetry wii respect to the line that C- Bisects it from opposite vertices.
All the others are never true for a parallelogram. You can try cutting out a parallelogram and folding it to see for yourself!
Hope this helps!!

4 0

2 years ago

Read 2 more answers

Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event

mezya [45]

Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = $\frac{1}{4}$

The probability of Javier to attend exactly 4 events :-

P ( x = 4 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 3 events :-

P ( x = 3 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 2 events :-

P ( x = 2 ) = $\frac{3}{20}$

The probability of Javier to attend exactly 1 events :-

P ( x = 1 ) = $\frac{1}{20}$

The probability of Javier to attend no events :-

P ( x = 0 ) = $\frac{1}{20}$

Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).

P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )

P ( x < 3 ) = $\frac{1}{20} + \frac{1}{20} + \frac{3}{20}$ $= \frac{1 + 1 + 3}{20}$ = $\frac{5}{20}$ = $\frac{1}{4}$ = 0.25 = 25 %.

8 0

2 years ago

Divide 3xsquared - 11x - 4 by x - 4 a. x+1 b. x-23 c. 3x+1 d. 3x-23

Dmitriy789 [7]

Answer:

c. $3x+1$

Step-by-step explanation:

Since the divisor is in the form of $x - c$ , use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 3 −11 −4

↓ 12 4

_______________

3 1 0 → 3x + 1

You start by placing the c in the top left corner, then list all the coefficients of your dividend [3x² - 11x - 4]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 3 in your quotient can be a 3x, and the 1 follows right behind it, giving you the quotient of $3x + 1$ .

I am joyous to assist you anytime.

5 0

2 years ago