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?) $$ 7.05/6.08 = 10^{.0052t} $$ $$ 1.15 = 10^{.0052t} $$ $$ log(1.15) =.0052t $$ How would i even solve after that? is the way I've done so far good? how would i proceed after this than?
Hint:
How do you solve the equation $$15 = 0.0052 t?$$