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Art [367]
3 years ago
5

Which one represents the equation log3 81 = 4 in exponential form?

Mathematics
2 answers:
MariettaO [177]3 years ago
6 0
Log(base 3)(81)=4
3^4=81
Tresset [83]3 years ago
5 0

Answer:

Exponential form is log_{3}(3^{4}) = 4.

Step-by-step explanation:

Given : log_{3}(81) =4.

To find : Represent in exponential form .

Solution : We have given that  log_{3}(8) =4.

We can write as 81 = 3^{4}.

By the logarithm form  log_{a}(a^{n}) =n.

Then ,

log_{3}(3^{4}) = 4

Therefore, Exponential form is log_{3}(3^{4}) = 4.

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What is the sum of the interior angles of a polygon shown below?
GREYUIT [131]

Answer: The sum of the interior angles of a polygon shown  in the picture is 540^{\circ}.

Step-by-step explanation:

The given polygon is a regular pentagon having 5 sides.

The sum of the interior angles of a regular polygon is given by :-

(n-2)\times180^{\circ}, wherer n= number of sides of the regular polygon.

Since it has 5 sides, then the sum of the interior angles of a polygon would be

(5-2)\times180^{\circ}\\\\=3\times180^{\circ}\\\\=540^{\circ}

Hence, the sum of the interior angles of a polygon shown  in the picture is 540^{\circ}.

7 0
3 years ago
How do you answer this
Tju [1.3M]
109 degrees and the missing angle are supplementary angles, so they add up to 180 degrees.
180 - 109 = 71
The measurement of ULE can now be found since we now have 2 angles with their degrees. So we add those angles together...
71 + 49 = 120
Now we subtract that from 180 (all of the angles add up to 180 in a triangle) to get the m180 - 120 = 60

The m
7 0
3 years ago
Sarah invested $1000 in an account paying 5.5% interest compounded semi-annually. How long will it take for the account balance
NISA [10]

Answer: it will take 43.25 years

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $1000

A = $10450

r = 5.5% = 5.5/100 = 0.055

n = 2 because it was compounded 2 times in a year.

Therefore,.

10450 = 1000(1 + 0.055/2)^2 × t

10450/1000 = (1 + 0.0275)^2t

10.45 = (1.0275)^2t

Taking log of both sides, it becomes

Log 10.45 = 2t log 1.0275

1.019 = 2t × 0.01178 = 0.02356t

t = 1.019/0.02356

t = 43.25 years

4 0
3 years ago
A system of two equations includes the equation y = 2x + 8 If the system has no solutions, which of the following can be the oth
kotegsom [21]
Answer:C
the answer would be C because there would be no answer.
6 0
3 years ago
Help i dont understand this problem
BigorU [14]
-15-(-18)=-15 +(-18)=-33
-×-=+ +×-= -
-15×-(-18)= 3
-15×+(-18)=-33
3-33=-33
-30=-30
5 0
4 years ago
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