Question

After t years, the annual sales in hundreds of thousands of units of product q is given by
q=(1/2)^(.8)^t
2) After how many years will the annual sales be about 95,350 units? Show your work. (Hint: You will have to take the log of both sides twice.)

Answer 1

\[q=\left(\frac12\right)^{.8^t}\]
\[\log_{1/2}q=.8^t\]
\[\log_{0.8}\left(\log_{1/2}\left(q\right)\right)=t\]

\[t=\log_{0.8}\left(\log_{1/2}\left(95350\right)\right)\]

Answer 2

2,781 years?

Answer 3

\[t=\frac{\log_{10}\left(\frac{\log_{10}\left(95350\right)}{\log_{10}(1/2) }\right)}{\log_{10}(0.8)}\]

Answer 4

how sure are you?

Answer 5

how did you get to there?

Answer 6

which step didn't you follow/?

Answer 7

how you got to the new formula

Answer 8

take the log of both sides to base 1/2

take the log of both sides to base 0.8

Answer 9

i used the change of base formula in the last step so a calculator that only has base 10 could be used

Answer 10

hmm i keep getting error

Answer 11

for some reason im not getting a real answer either