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2 years ago

In(x-4) + ln (x+3) = ln18

Mathematics

1 answer:

stellarik [79]2 years ago

3 0

Answer:

The value of x is 6 , - 5

Step-by-step explanation:

Given as ;

log(x - 4) + log(x + 3) = log 18

From log property

I.e log m + log n = log ( m × n)

So, log(x - 4) + log(x + 3) = log 18

or, log {(x - 4) × (x + 3)} = log 18

Or, (x - 4) × (x + 3) = 18

Or, x² + 3 x - 4 x - 12 = 18

Or, x² - x -12 - 18 = 0

or, x² - x - 30 = 0

Or, x² - 6 x + 5 x - 30 = 0

or, x ( x - 6 ) + 5 ( x - 6 ) = 0

or, ( x - 6 ) ( x + 5 ) = 0

So, the value of x is 6 , - 5

Hence the value of x is 6 , - 5 Answer

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Evaluate (42)(43)(8-3) 2 .

Dafna1 [17]

Answer: 18060

Step 1

1806(8−3)(2)

Step 2

(1806)(5)(2)

Step 3

(9030)(2)

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2 years ago

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While Flinn was starting the fire, his friends were collecting firewood. Flinn has 5 sticks. If he puts 3 sticks in the fire eve

fomenos

Answer:

Time required to make a pile of 45 sticks next to their fire = 10 minutes

Step-by-step explanation:

This is an example of arithmetic progression.

First term = 5 - 3 + 7 = 9 sticks

Common difference = 7 - 3 = 4 sticks.

So the number of sticks next to their fire is increasing like this

9, 13, 17, 21 .............

$n^{th}$ term of AP = a + (n-1) d, we need to find n

a + (n-1) d = 45

9 + (n-1) x 4 = 45

(n-1) x 4 = 36

n - 1 = 9

n = 10

Time required to make a pile of 45 sticks next to their fire = 10 minutes

4 0

2 years ago

Read 2 more answers

Let f be the function given by f(x)=3xsinx. What is the average value of f on the closed interval 1≤x≤7 ?

Hoochie [10]

Answer:

-2.92178

Step-by-step explanation:

Given the function $f(x)=3x\ sin x$

The average,A is calculated using the formula;

$A=\frac{1}{b-a}\int\limits^a_b F(x)\, dx \\\\A=\frac{1}{7-1}\int\limits^7_1 3x \ Sin \ x\, dx \\\\\\=\frac{3}{6}\int\limits^7_1 x \ Sin \ x\, dx \\\\\#Integration\ by\ parts, u=x, v \prime=sin(x)\\=0.5[-xcos(x)-\int-cos(x)dx]\limits^7_1\\\\=0.5[-xcos(x)-(-sin(x))]\limits^7_1\\\\=0.5[-xcos(x)+sin(x)]\limits^7_1\\\\=0.5[-6.82595--0.98240]\\\\=-2.92178$

Hence, the average of the function is -2.92178

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2 years ago

The distance between New York and Philadelphia by railroad is 90 miles; the distance between them by river and ocean is 240 mile

VladimirAG [237]

Start with 90/240, then reduce the fraction
you can reduce by dividing each by 10 to get 9/24
reduce more from there, seeing that each number can be divided by 3
9/3 = 3
24/3 = 8
answer 3/8

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2 years ago

the eatery restaurant has 200 tables on a recent evening there were reservations for one tenth of the table how many tables will

stellarik [79]

X=200/10
x=20

QWC - There were 20 tables reserved.

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2 years ago