U can change it by using the rule of logarithm.
log (10/y)= log10 - log y
You have to put the parentheses like this:
In fact, you have to perform the operation inside parentheses first, and then proceed in order:
We are asked in the problem to solve for x in the expression tan(x+π)+2sin(x+π) = 0. tan theta is equal to sin theta over cos theta. Hence, the expression results to tan (x+π) = sin (x+π) / cos (x+π) = -2sin (x+π). Thus, 1/cos (x+π) = -2. cos (x+π) = -1/2, cosine becomes negative in the third and fourth quadrants. cosine is 1/2 when the terminal angle is pi/3. x is equal to pi/3 then and 5 pi/6.
Since the population of Guatemala follows an exponential
growth, therefore the equation describing the population over time should be in
the form:
p = p0 (1 + r)^t
where,
p = is the population at specified time t
p0 = is the initial population (measured starting year
2000) = 12.7 m
r = the growth rate
t = time in years
A. Calculating for the growth rate r when p = 30 and t =
20:
30 = 12.7 (1 + r)^20
1 + r = (30 / 12.7)^(1/20)
r = (30 / 12.7)^(1/20) – 1
r = 0.0440
So the equation is:
p = p0 (1.0440)^t
B. Calculating for the growth rate r when p = 30 and t =
125:
30 = 12.7 (1 + r)^125
1 + r = (30 / 12.7)^(1/125)
r = (30 / 12.7)^(1/125) – 1
r = 0.0069
So the equation is:
p = p0 (1.0069)^t
