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Studentka2010 [4]
3 years ago
14

Which logarithmic equation is equivalent to the exponential equation below?

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

log_e^{67.21}= a

Step-by-step explanation:

The equation is ,

\implies 67.21 = e^a

  • Here e is the Euler's Number . The log which are defined on the base e are called Natural logarithms.

Say if we have a expoteintial equation ,

\implies a^m = n

In logarithmic form it is ,

\implies log_a^n = m

Similarly our required answer will be ,

\implies\boxed{ log_e^{67.21}= a  }

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The length of a rectangle is 7 inches longer than it is wide. If the area is 170 square inches, what are the dimensions of the r
Luden [163]

Answer:

The length of a rectangle is 7 inches longer than it is wide. If the area is 170 square inches, what are the dimensions of the rectangle?

Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!

x = width x + 7 = length

x(x+7) = 170

x^2 + 7x - 170 = 0

(x + 17)( x - 10)

Therefore x = 10 as x = -17 no answer.

Width = 10 inches

Length = 17 inches

3 0
3 years ago
Two numbers add to 251 and the second is 41 bigger then the first. what are the two numbers?
PIT_PIT [208]
\left\{\begin{array}{ccc}x+y=251\\y=x+41\end{array}\right\\\\substitute:\\\\x+x+41=251\\2x+41=251\ \ \ \ /-41\\2x=210\ \ \ /:2\\x=105\\\\y=105+41=146\\\\Answer:105\ and\ 146.
6 0
3 years ago
Read 2 more answers
Which exponential function has an initial value of 2?<br><br> f(x) = 2(3x)<br><br> f(x) = 3(2x)
Sidana [21]
<span>f(x) = 2(3x)
Exponential functions represent the initial value outside of the parentheses so if 2 is the initial value it has to be on the outside of the parentheses. 
Exponential growth formula.
</span>y=a(1+r)^{x}
<span>a represents the initial value.</span>
7 0
3 years ago
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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this t
Lelechka [254]
8cm and 8cm.

Espero que esta respuesta te ayude.
4 0
3 years ago
Find the angle between the given vectors to the nearest tenth of a degree. u = , v = (2 points)
Liono4ka [1.6K]

Answer:

<h2>3.6°</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the angle between the given vectors to the nearest tenth of a degree.

u = <8, 7>, v = <9, 7>

we will be using the formula below to calculate the angle between the two vectors;

u*v = |u||v| cos \theta

\theta is the angle between the two vectors.

u = 8i + 7j and v = 9i+7j

u*v = (8i + 7j )*(9i + 7j )

u*v = 8(9) + 7(7)

u*v = 72+49

u*v = 121

|u| = √8²+7²

|u| = √64+49

|u| = √113

|v| = √9²+7²

|v| = √81+49

|v| = √130

Substituting the values into the formula;

121= √113*√130 cos θ

cos θ = 121/121.20

cos θ = 0.998

θ = cos⁻¹0.998

θ = 3.6° (to nearest tenth)

Hence, the angle between the given vectors is 3.6°

5 0
3 years ago
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