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Answer: is the logarithmic equation which is equivalent to
.
Step-by-step explanation:
According to the laws of logarithms
,where b=base ,n,x all are positive
It can be written in exponential form such as
Now in the given question x=9 ,b=3 and n=2 such that it will equals to
Hence the logarithmic equation for is
.
Answer:
y=-3x+5
Explanation:
Given a line L such that:
• L has y-intercept (0,5); and
,• L is perpendicular to the line with equation y=(1/3)x+1.
We want to find the equation of the line in the slope-intercept form.
The slope-intercept form of the equation of a straight line is given as:
Comparing the given line with the form above:
Next, we find the slope of the perpendicular line L.
• Two lines are perpendicular if the product of their slopes is -1.
Let the slope of L = m1.
Since L and y=(1/3)x+1 are perpendicular, therefore:
The y-intercept of L is at (0,5), therefore:
Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.
The equation of line L is: