IDNLearn.com makes it easy to find precise answers to your specific questions. Ask anything and receive comprehensive, well-informed responses from our dedicated team of experts.
Sagot :
[tex]\\ \tt\hookrightarrow 2(3)^{12t}=1200[/tex]
- Isolate the term
[tex]\\ \tt\hookrightarrow (3)^{12t}=600[/tex]
- Apply log on both sides
[tex]\\ \tt\hookrightarrow log(3)^{12t}=log600[/tex]
[tex]\boxed{\sf log_a b=bloga}[/tex]
[tex]\\ \tt\hookrightarrow 12tlog3=log600[/tex]
[tex]\\ \tt\hookrightarrow t=\dfrac{log600}{12log3}[/tex]
[tex]\\ \tt\hookrightarrow t=\dfrac{2.778}{12(0.477)}[/tex]
[tex]\\ \tt\hookrightarrow t=\dfrac{2.778}{5.724}[/tex]
[tex]\\ \tt\hookrightarrow t=0.485[/tex]
MisterBrainly has already solved part 1, so I'll go over part 2 only.
Check out the screenshot below.
Side note: The portion "Time in years" at the very end could easily be something like "time in days" or "time in "months". It's not clear what time unit your teacher wants. Also, it will depend on how the half-life is set up.
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.