How to solve logarithm word problem given the exponential equation? The question is The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%. The function that models this is y = 6.08(10)^(.0052t) where y represents the population in billions and t is the time in years after 2000. Write and solve a logarithmic equation to determine what year the world population will exceed 7.5 billion. So is the question asking me to convert the given equation into logarithmic equation than 7.05 = 6.08(10)^(.0052t) ( 7.5 billion is y right?)

Kailyn Hamilton

Kailyn Hamilton

Answered question

2022-11-18

How to solve logarithm word problem given the exponential equation?
The question is
The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%. The function that models this is
y = 6.08 ( 10 ) .0052 t
where y represents the population in billions and t is the time in years after 2000. Write and solve a logarithmic equation to determine what year the world population will exceed 7.5 billion.
So is the question asking me to convert the given equation into logarithmic equation than
7.05 = 6.08 ( 10 ) .0052 t
( 7.5 billion is y right?)
7.05 / 6.08 = 10 .0052 t
1.15 = 10 .0052 t
l o g ( 1.15 ) = .0052 t
How would i even solve after that? is the way I've done so far good? how would i proceed after this than?

Answer & Explanation

zastenjkcy

zastenjkcy

Beginner2022-11-19Added 14 answers

Hint:
How do you solve the equation
15 = 0.0052 t ?

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