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Arada [10]
2 years ago
8

Help Solving Exponential Functions

Mathematics
2 answers:
iren [92.7K]2 years ago
7 0

Answer:

p(x) = 256 \\ p(x) =  {2}^{(x + 2)}  \\  {2}^{(x + 2)}  = 256 \\  {2}^{(x + 2)}  =  {2}^{8}  \\( x + 2) = 8 \\ x =( 8 - 2) \\  \boxed{x = 6}

<h3><u>x=6 </u>is the right answer.</h3>

243 =  {3}^{(x + 3)}  \\  {3}^{(x + 3)}  =  {3}^{5}  \\ (x + 3) = 5 \\ x = (5 - 3) \\ \boxed{ x = 2}

<h3><u>x=2</u> is the right answer.</h3>
adelina 88 [10]2 years ago
3 0

Step-by-step explanation:

4) p(x)=256

p(x)=2 ^ x+2

256=2 ^ x+2

2⁸= 2 ^ x+2

8=x+2

x=8-2=6

5)243=3 ^ x+3

3×3×3×3×3 = 3 ^ x+3

3⁵= 3^ x+3

5 = x+3

x=5-3=2

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Find the area of the parallelogram with vertices:________.
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97.98

Step-by-step explanation:

The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;

Area of the parallelogram = |PQ×PS|

PQ = Q-P and PS = S-P

Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)

PQ = (4,-5,3) - (0,0,0)

PQ = (4,-5,3)

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PS = (8,-12,4)-(0,0,0)

PS = (8,-12,4)

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PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k

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