Log5 x=4 logx 5
Ln x/ln5=4(ln5 / ln x) logx z=ln x / ln z
least common multiple=ln5 * ln x
ln²x=4ln²5
√(ln² x)=√(4 ln²5)
ln x=2ln 5
x=e^2ln5=25
Answer: x=25.
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Answer:
radius=6
Step-by-step explanation:
arc ACB=6xPi
Pi=3.14159
arc ACB=18.85 (rounded to 2 places)
ACB is a half circle so a full circle would be 18.85x2 or 37.7
circumference (whole circle)=2 x Pi x radius
37.7=2 x 3.14159 x radius
radius= 37.7/(2 x 3.14159)
radius=6
We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
(-3,2)(1,2)...notice that the y values are the same.....when the y values are the same u have a horizontal line with a 0 slope.
IF the x values would have been the same (instead of the y values), then u would have had a vertical line with an undefined slope.
