Hey guys I am new to this website and wanted some help. I would like to see the steps if possible. Thank you!
Solve for t or x. Round off 3 significant decimals
ln(t/t-2)=1
5^(t+1)=6^t
ln9x=1
2=e^(.6t)
1/5=e^(4x)
9ln x = 15
ln 3 + ln x= 1.4
Hey guys I am new to this website and wanted some help. I would like to see the steps if possible. Thank you!
Solve for t or x. Round off 3 significant decimals
ln(t/t-2)=1
5^(t+1)=6^t
ln9x=1
2=e^(.6t)
1/5=e^(4x)
9ln x = 15
ln 3 + ln x= 1.4
$\displaystyle \ln{\frac{t}{t - 2}} = 1$
$\displaystyle \frac{t}{t - 2} = e^1$
$\displaystyle \frac{t - 2 + 2}{t - 2} = e$
$\displaystyle 1 + \frac{2}{t - 2} = e$
$\displaystyle \frac{2}{t - 2} = e - 1$
$\displaystyle \frac{t - 2}{2} = \frac{1}{e - 1}$
$\displaystyle t - 2 = \frac{2}{e - 1}$
$\displaystyle t = \frac{2}{e - 1} + 2$
$\displaystyle t = \frac{2}{e - 1} + \frac{2(e - 1)}{e - 1}$
$\displaystyle t = \frac{2 + 2e - 2}{e - 1}$
$\displaystyle t = \frac{2e}{e - 1}$.