This is a really interesting question!! exponential functions and logarithmic functions are actually inverses functions; the way to "undo" logarithms is by exponents, the way to "undo" exponents is by logarithms. an exponent tells you how many times you need to multiply a value; logarithms ask what exponent you need to get a certain value. you could use logarithms and exponents to calculate interest rates, as a real life example. they can also be used in calculating population growth or the half-life of an organism in biology.
Answer:
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Step-by-step explanation:
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Answer:
2b+4p=25.00 4b+5p=30.00
Step-by-step explanation:
There's only one solution...the one you get when you divide both sides by 22 to solve for x. 902/22 = 41. That exponent on the x, the one you don't see, is a "1" which tells us that there is only 1 solution to this problem. If your x is squared, then you have 2 solutions; if it's cubed, you have 3, etc.
We know that the vertex form of any quadratic function is the form:
The given quadratic function is 
To convert it into the vertex form we will have to complete the square of the quadratic expression given here which may be done as shown below:
Thus, 
(This is because adding a 4 inside the parentheses to complete the square is equivalent to adding 16 to the whole expression and thus we need to subtract 16 from the overall expression.)
The above is the vertex form of the original given function, .
