Find the solution of the exponential equation, rounded to four decimal places. 6 Mathematics Assignment Help. Find the solution of the exponential equation, rounded to four decimal places. 6 Mathematics Assignment Help.
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Find the solution of the exponential equation, rounded to four decimal places.
Find the solution of the exponential equation, rounded to four decimal places. 6 Mathematics Assignment Help[supanova_question]
A certain culture of the bacterium Streptococcus A initially has 8 bacteria and Mathematics Assignment Help
A certain culture of the bacterium Streptococcus A initially has 8 bacteria and is observed to double every 1.5 hours.
Streptococcus A 
(12,000 × magnification) 
for the number of bacteria in the culture after t hours.
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et’s solve the exponential equation 4ex = 80. (a) First, we isolate ex to get Mathematics Assignment Help
et’s solve the exponential equation
(a) First, we isolate e^{x} to get the equivalent equation 

. 
(b) Next, we take ln of each side to get the equivalent equation 

. 
(c) Now we use a calculator to find x = . (Round your answer to three decimal places.)
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Find the solution of the exponential equation, rounded to four decimal places. 1 Mathematics Assignment Help
Find the solution of the exponential equation, rounded to four decimal places.
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Let’s solve the logarithmic equation log 3 + log(x − 8) = log x. (a) First, w Mathematics Assignment Help
Let’s solve the logarithmic equation
(a) First, we combine the logarithms to get the equivalent equation 

=  log x. 
(b) Next, we write each side in exponential form to get the equivalent equation 

=  x. 
(c) Now we find x =  . 
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(d) Estimate when the population will reach 500,000. This will occur during the Mathematics Assignment Help
The population of a certain city was 146,000 in 2006, and the observed doubling time for the population is 18 years.
(d) Estimate when the population will reach 500,000.
(d) Estimate when the population will reach 500,000. This will occur during the Mathematics Assignment Help[supanova_question]
This exercise uses Newton’s Law of Cooling. Mathematics Assignment Help
Newton’s Law of Cooling is used in homicide investigations to determine the time of death. The normal body temperature is 98.6°F. Immediately following death, the body begins to cool. It has been determined experimentally that the constant in Newton’s Law of Cooling is approximately k = 0.1947, assuming time is measured in hours. Suppose that the temperature of the surroundings is 65°F.
T(t) = 

(b) If the temperature of the body is now 71°F, how long ago was the time of death? (Round your answer to the nearest whole number.)
hr
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The normal body temperature is 98.6°F. I Mathematics Assignment Help
It has been determined experimentally that the constant in Newton’s Law of Cooling is approximately k = 0.1947, assuming time is measured in hours. Suppose that the temperature of the surroundings is 65°F.
T(t) = 

(b) If the temperature of the body is now 71°F, how long ago was the time of death? (Round your answer to the nearest whole number.)
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The halflife of radium226 is 1600 years. Suppose we have a 23mg sample. (a) F Mathematics Assignment Help
The halflife of radium226 is 1600 years. Suppose we have a 23mg sample.
that models the mass remaining after t years.
(b) Find a function
that models the mass remaining after t years. (Round your r value to six decimal places.)
(c) How much of the sample will remain after 4000 years? (Round your answer to one decimal place.)
mg
(d) After how long will only 16 mg of the sample remain? (Round your answer to the nearest year.)
t = yr
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The fox population in a certain region has a relative growth rate of 7% per year Mathematics Assignment Help
The fox population in a certain region has a relative growth rate of 7% per year. It is estimated that the population in 2005 was 23,000.
that models the population t years after 2005.
n(t) = 
8100·e0.211t

(b) Use the function from part (a) to estimate the fox population in the year 2013. (Round your answer to the nearest whole number.)
foxes
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