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vivado [14]
3 years ago
7

Solve ln 3 + ln (4x) = 4 round your answer to the nearest hundredth

Mathematics
2 answers:
Drupady [299]3 years ago
3 0
Rewrite the equation in exponential form, use the definition of a log and then simplify and you should get x= e^4/12 or 4.55
Nataly [62]3 years ago
3 0

Answer:

x = 4.55.

Step-by-step explanation:

Given : ln 3 + ln (4x) = 4.

To find : Solve round your answer to the nearest hundredth.

Solution : We have given that  

ln 3 + ln (4x) = 4.

By the logarithm rule : ln a + ln b = ln (ab).

Then,

ln 3 + ln (4x) = ln (3 * 4x )

ln 3 + ln (4x) = ln (12 x )

Then ,

ln (12 x ) = 4

Taking exponential both side

12x = e^{4}.

12 x = 54.59.

12 x = 54 .59

On dividing by 12 both sides

x = 4.55.

Therefore, x = 4.55.

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3:30pm .................
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3 years ago
Carl wants to plant a garden that is 1 1/2 yards long and has an area of 3 1/2 yd.² how wide should the Garden be
lesya692 [45]
L= length= 1 1/2 yards
A= area= 3 1/2 yards^2
w= width

Area= length * width
plug in numbers you know
3 1/2= (1 1/2)(w)
convert to improper fractions
(3*2+1)/2= ((1*2+1)/2)(w)
7/2= 3/2w
divide both sides by 3/2
7/2 ÷ 3/2= w
to divide fractions, multiply by the reciprocal/inverse of 3/2
7/2 * 2/3= w
(7*2)/(2*3)= w
14/6= w
reduce by 2
7/3= width as improper fraction
OR
2 1/3= width as mixed fraction

ANSWER: The width should be 2 1/3 yards wide (or 7/3 yards wide).

Hope this helps! :)
8 0
3 years ago
I’m so confused! Can someone help me with this? Please and thank you!
ludmilkaskok [199]

Answer:

D.

Step-by-step explanation:

1) the domain is x∈[0;+∞);

2) the solution is:

\sqrt{x}\leq 10; \ => \ x\leq 100;

3) finally, the solution with the domain is:

x∈[0;100].

7 0
2 years ago
David swam in 312 events during the last 6 years. He swam the same number of events each year.
natta225 [31]

Answer:

52

Step-by-step explanation:

Divide 312 by 6 to find the number of events he swam per year

5 0
2 years ago
Read 2 more answers
The cost to purchase 3 sandwich rolls is $0.48. How much will it cost to<br> purchase 20 rolls?
spayn [35]

Answer:

$3.2

Step-by-step explanation:

0.48 ÷ 3 = 0.16

0.16*20=3.20

Hope this helps

7 0
2 years ago
Read 2 more answers
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