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elena-s [515]
3 years ago
13

Write the expression as a single natural logarithm.3 ln x – 5 ln c

Mathematics
1 answer:
shtirl [24]3 years ago
4 0
The rules are ...
\Longrightarrow \ln(\frac{a}{b})=\ln(a)-\ln(b)
\Longrightarrow \ln(a^{b})=b\ln(a)

Your expression makes use of both these rules.
3\ln(x)-5\ln(c)=\ln(x^{3})-\ln(c^{5})=\ln \left( \dfrac{x^{3}}{c^{5}} \right)

Your single logarithm is ...
  \ln \left( \dfrac{x^{3}}{c^{5}} \right)
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Use the interactive tool to create the three-dimensional
Sati [7]

The surface area of the three dimensional solid is 72 square centimeters and its three dimensional diagram is attached.

Step-by-step explanation:

The given is,

                 Detailed view or net diagram of the three dimensional diagram.

Step:1

                Three dimensional diagram of the given net diagram is attached.  

                From the three dimensional diagram given net diagram is rectangular prism.

Step:2

                 From the three dimensional diagram

                 Formula for surface area of the rectangular prism,

                                       A = 2(wl + lh + hw)..............................(1)

                 Where, w - Width

                                l - Length

                               h - Height

                 From the attachment,

                               l = 6 cm

                              w = 2 cm

                               h = 3 cm                

                 Equation (1) becomes,

                              A = 2((6)(2) + (6)(3) + (3)(2))

                                   = 2 ( 12 + 18 + 6 )

                                   = 2 ( 36 )

                               A = 72 squared centimeters

                                  ( or )

                 From the net diagram,

                 Surface area, A = ((6×3)+(2×3)+(2×6)+(2×3)+(3×6)+(2×6))

                                            = 18 + 6 + 12 + 6 + 18 + 12

                                            = 72

                Surface area, A = 72 squared centimeters

Result:

          The surface area of the three dimensional solid is 72 square centimeters and its three dimensional diagram is attached.

4 0
3 years ago
Read 2 more answers
What is the answer for this problem?
Jobisdone [24]

Answer:

x=2

Step-by-step explanation:

AB/BD=BC/BE

2/1=x/1

2=1x

x=2

3 0
3 years ago
How do you solve -4x - 10 < 2
viva [34]
There is a way and you will find it but not from me
5 0
2 years ago
the formula f=1.8c +32 gives the temperature in degrees fahrenheit for a given temperature in degrees celsius. there is one temp
mars1129 [50]
F = 1.8F + 32
F - 1.8F = 1.8F - 1.8F + 32
-0.8F = 32
-0.8F / -0.8= 32 / -0.8
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7 0
3 years ago
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Pherris is graphing the function f(x) = 2(3)x. He begins with the point (1, 6). Which could be the next point on his graph?
Savatey [412]

Answer: (2, 18)

Step-by-step explanation:

When x=2, f(2)=2(3)^{2}=18.

So, it should pass through (2, 18).

8 0
1 year ago
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