The perimeter of a rectangle is 90 feet. If the length is 15 feet more than the width, what are the dimensions of the rectangle?
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One number or word is missing in the statement.
Assume you mean "what is the log base 4 of 64?"
That is:
Since, logarithm is the inverse function of exponential, another way to say that is to what exponent must be raised 4 to make 64?
This is, find x such that 4 ˣ = 64
Since 64 is 4³, the answer would be 3.
If the question were "what is the log base 2 of 64?" then other way to say it is to what number must be raised 2 to make 64?
And the answer is found making:
2ˣ = 64
2ˣ = 2⁶
Therefore, x = 6.
Assume you mean "what is the log base 4 of 64?"
That is:
Since, logarithm is the inverse function of exponential, another way to say that is to what exponent must be raised 4 to make 64?
This is, find x such that 4 ˣ = 64
Since 64 is 4³, the answer would be 3.
If the question were "what is the log base 2 of 64?" then other way to say it is to what number must be raised 2 to make 64?
And the answer is found making:
2ˣ = 64
2ˣ = 2⁶
Therefore, x = 6.
At heart we're being asked for a line through two points,
In general the line through (a,b) and (c,d) is
Check that you understand why both (a,b) and (c,d) are on this line.
Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,
That's our answer; let's check it.
When T=40, v = (5/9)40 + (2995/9) = 355 good
When T=49, v= (5/9)49 + (2995/9) = 360 good