Provide an appropriate response.The exact solution to an exponential equation such as 2x = 3 can be expressed in three forms: log23, 
, or 
. Give the exact solution to the following exponential equation in three forms.4x = 17
A. log417; 
; 
B. log17 4; 
; 
C. log17 4; 
; 
D. log417; 
; 
Answer: D
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Solve the problem.In 1838, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first person to calculate the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61 Cygni, at 0.314 arc seconds (Parallax is the change in position of the star measured against background stars as Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 150,000,000 km and ? = 0.314 seconds = src="https://sciemce.com/media/4/ppg__10624191815__f1q29g3.jpg" alt="" style="vertical-align: 0.0px;" height="194" width="259" />
What will be an ideal response?
minutes = 
degreesdetermine the distance d from Earth to 61 Cygni using Bessel's figures.
Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = 3i + 5j,
w = 3i + j
A. v1 = 
i - 
j, v2 = - 
i - 
j
B. v1 = 
i + 
j, v2 = 
i + 
j
C. v1 = 
i + 
j, v2 = - 
i + 
j
D. v1 = 
i + 
j, v2 = 
i + 
j
Describe the transformation that sends ?ABC to ?A'B'C' in Figure 2. Mark the relevant vectors, points, lines, etc. and give the coordinates for these objects as appropriate.
Simplify.i8
A. i B. -1 C. -i D. 1