The solution of the given logarithmic equation is x = 28.1
<h3>How to solve the logarithmic equation?</h3>
Here we have the logarithmic equation:
4*ln(x - 8) = 12
And we want to solve this for x.
Remember the relations:
First, we divide both sides by 4:
Then, if we apply the exponential equation to both sides of our equation, we get:
If you want to learn more about logarithmic equations:
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Answer:
See image attached
Step-by-step explanation:
This type of transformation corresponds to a reflection of the function's graph around the x axis. Therefore one should obtain the mirror image of the segments on he upper quadrant as shown in red in the attached image.
Answer: The mat is 4.33 ft high off the ground.
Step-by-step explanation:
Since we have given that
Angle of elevation with the first triangle = 30°
Angle of elevation with the second triangle = 60°
Length at which gymnastics mat extends across the floor = 5 feet
so, As shown in the figure:
We need to find the height of the mat off the ground.
If CD = 5 ft,
Let, AB = y, DC = x.
In Δ ABC,
Similarly, in Δ ACD,
Hence, the mat is 4.33 ft high off the ground.
