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statuscvo [17]
3 years ago
13

Which equation is equivalent to????

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

3² = x + 5. The equivalent equation to log₃(x+5) = 2 is 3² = x + 5.

In order to solve this problem we have to know about  Logarithm.

Logarithm is defined as the exponent of a power with a certain base, that is, the number to which a given base must be raised to obtain a given result.

logₐ b = x ----------> aˣ = b

Solving for log₃(x+5) = 2 where a = 3, x = 2, and b = x + 5

3² = x + 5

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(-3,2)\qquad \stackrel{unit~vector}{\implies }\qquad \left( \cfrac{-3}{\sqrt{(-3)^2+2^2}}~~,~~\cfrac{2}{\sqrt{(-3)^2+2^2}} \right)
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\left( -\cfrac{3}{\sqrt{13}}~~,~~ \cfrac{2}{\sqrt{13}}\right)\\\\
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\bf \textit{and now let's \underline{rationalize} the denominator for each}
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7 0
3 years ago
Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with t
Maru [420]

Answer:

See explanation

Step-by-step explanation:

First plot points A, B, C and D on the coordinate plane and connect them to get quadrilateral ABCD. Then plot the vertices E, F, G, H of the quadrilateral EFGH in each case.

For each of these cases there are attached diagrams

1 case - reflection acraoss the x-axis

2 case - translation 5 units down

3 case - reflection across the y-axis

4 case - translation 7 units right

3 0
2 years ago
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borishaifa [10]
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18.194 rounded to the nearest hundredths
ehidna [41]
18.19
-you're welcome
5 0
3 years ago
Read 2 more answers
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Vesna [10]

Answer:

14/13

Step-by-step explanation:

the reciprocal is the fraction upside down.

5 0
2 years ago
Read 2 more answers
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