What is the true solution to 3In2+In(4x)
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Answer:
16.34 hours
Step-by-step explanation:
According to the given information we can see that the case is of exponential growth
Hence, we will use the formula
Here A =800 is the amount that is needed to reach
P is the initial amount that is 500
We have to find the time it will take to reach 800 that is we need to find t
On substituting the values in the formula we get
On simplification we get
Taking log on both sides we get
using
And
Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get
The slope point form is
m is the slope
x1, y1 are the coordinates of a point on the line
The slope of the line is -1
m = -1
point (-5, -4) lies on the line
x1 = -5 and y1 = -4
Let us substitute them in the form above
Remember (-)(-) = (+)
The equation of the line in the slope-point form is y + 4 = -1(x + 5)