If Logx<span> (1 / 8) = - 3 / 2, then x is equal to </span>
Solution
Rewrite the logarithmic equations using exponential equation
x- 3 / 2<span> = 1 / 8 </span>
The above equation may be rewritten as
x<span> - 3 / 2</span><span> = 1 / 2</span>3<span> = 2</span>-3
(√x)-3<span> = 2</span>-3
The above equation gives
<span>√x = 2 or x = 4
</span>
Answer:
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Answer:
Proved
Step-by-step explanation:
B. The independent quantity is definitely not the words cause' of you think about it the number of words depends on the number of minutes.
The equation to calculate the average rate of change is: y/x
y = f(x2) - f(x1)x = x2 - x1
x1: 1 (The smaller x value. It can be any number)x2: 2 (The larger x value. It also can be any number)f(x1): The value when you plug x1 into the function.f(x2): The value when you plug x2 into the function.
If we know this, the variables for this problem are assuming the function is 10(5.5)^x:
x2: 2x1: 1f(x2): 10(5.5)^(2) = 302.5f(x1): 10(5.5)^(1)= 55
This means:y = 302.5 - 55 = 247.5x = 2 - 1 = 1
Remember: the equation for avg rate of change is y/x
So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)
