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nydimaria [60]
3 years ago
12

Simplify the expression shown below: ln(e^3 x^4), where x>0

Mathematics
1 answer:
olga2289 [7]3 years ago
5 0

Answer:

Final answer is 3+4\ln(x)

Step-by-step explanation:

Given expression is \ln(e^3x^4), where x>0

Now we need to simplify that expression.

Apply formula \ln(AB)=\ln(A)+\ln(B)

=\ln(e^3)+\ln(x^4)

Apply formula \ln(x^m)=m\ln(x)

=3\ln(e)+4\ln(x)

Apply formula \ln(e)=1

=3(1)+4\ln(x)

=3+4\ln(x)

Hence final answer is 3+4\ln(x)

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BD is the angle bisector of
AlexFokin [52]

Note: Let us consider, we need to find the m\angle ABC and m\angle DBC.

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The m\angle ABC and m\angle DBC.

Solution:

BD is the angle bisector of ABC. So,

m\angle ABD=m\angle DBC

3x=x+20

3x-x=20

2x=20

Divide both sides by 2.

x=\dfrac{20}{2}

x=10

Now,

m\angle DBC=(x+20)^\circ

m\angle DBC=(10+20)^\circ

m\angle DBC=30^\circ

And,

m\angle ABC=(3x)^\circ+(x+20)^\circ

m\angle ABC=(4x+20)^\circ

m\angle ABC=(4(10)+20)^\circ

m\angle ABC=(40+20)^\circ

m\angle ABC=60^\circ

Therefore, m\angle DBC=30^\circ,m\angle ABD=30^\circ and m\angle ABC=60^\circ.

8 0
2 years ago
Which numeral represents a larger quantity?<br> 10.2 base ten or 10.7 base eight
Whitepunk [10]
You would need to explain base ten and base 8 
6 0
3 years ago
Each month your cell phone company charges you $ 50 for your plan plus 3 cents for each text you send. You have $ 140 budgeted f
pshichka [43]

Answer:

3000 text messages can be sent without breaking the budget.

Step-by-step explanation:

Since each month your cell phone company charges $ 50 for your plan plus 3 cents for each text you send, and you have $ 140 budgeted for cell phone expenses for the month, to make a determination about the number of texts you can send each month the following calculation must be performed:

(140 - 50) / 0.03 = X

90 / 0.03 = X

3000 = X

Therefore, 3000 text messages can be sent without breaking the budget.

7 0
3 years ago
Jane has 10 days to study for four
sammy [17]
10x3=30 hours
30/4= 7.5 hours to study for each exam
5 0
3 years ago
A frame is 3 in wide and 9 in tall. if it is reduced to a height of 3 in, then how wide will it be?
Nimfa-mama [501]

It would be 1 inch wide.

8 0
3 years ago
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