Solve the equation by using the basic properties of logarithms. log(2x)=3
2 answers:
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The required percentage error when estimating the height of the building is 3.84%.
<h3>How to calculate the percent error?</h3>Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
Given that,
An estimate of the height, H meters, of a tall building can be found using the formula :
H = 3f + 15
where the building is f floors high.
f = 85
The real height of the building is 260 m.
H = 3f + 15
Put f = 85 in the above formula
H = 3(85) + 15
H = 270 m
Error,
So, the required percentage error is 3.84%.
Learn more about percentage error;
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The speed of the current in a river is 6 miles per hour
<em><u>Solution:</u></em>
Given that,
Speed of boat in still water = 20 miles per hour
Time taken = 3 hours
Distance downstream = 78 miles
To find: Speed of current
<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: </u></em>
Speed downstream = (u + v) km/hr
Speed upstream = (u - v) km/hr
<em><u>Therefore, speed downstream is given as:</u></em>
We know that,
Speed downstream = (u + v)
26 = 20 + v
v = 26 - 20
v = 6 miles per hour
Thus speed of the current in a river is 6 miles per hour