Question

solve: (1.025)^12t = 3

Answer 1

http://www.wolframalpha.com/input/?i=%281.025%29%5E12t+%3D+3+solve+for+t

Answer 2

\[(1.025)^{12t} = 3\]
first step take the log
\[\Large \log_{1.025} (3) = 12t\]
now divide by 12 to get t
\[\large \frac{\log_{1.025} (3)}{12} = t\]

Answer 3

if i wanted to get an answer with decimals. would i go log(3/1.025) / 12 ?

Answer 4

no that's different

Answer 5

just do that thing i said

Answer 6

otherwise you'll have to go \[\frac{\log 3}{12\log 1.025} = t\]

Answer 7

so i just leave it in the form you left it in as? log_1.025 (3) / 12 = t ... and i dont simplify it?

Answer 8

you use a calculator to simplify of course

Answer 9

im not sure how to plug it into my calculator

Answer 10

do \[\log 3 \div \log 1.025\]
what do you get

Answer 11

44.492

Answer 12

now divide by 12

Answer 13

3.707

Answer 14

\[t \approx 3.71\]`

Answer 15

thanks!

Answer 16

<tips imaginary hat>