I understand the basics, but I can't figure this one out. Any help would be appreciated.
Give the exact answer ( in terms of natural logarithms). Then use a calculator to find an approximat answer.
7.8e^(x/3)ln5 = 14
Thank you for your time.
I understand the basics, but I can't figure this one out. Any help would be appreciated.
Give the exact answer ( in terms of natural logarithms). Then use a calculator to find an approximat answer.
7.8e^(x/3)ln5 = 14
Thank you for your time.
If the equation is $\displaystyle 7.8 e^{\frac{x \ln 5}{3}} = 14$ then that's one helluva ugly exact answer .......
Picking up from topsquark:
$\displaystyle e^{\frac{x}{3} \ln 5} = \frac{70}{39}$
$\displaystyle \therefore \frac{x}{3} \ln 5 = \ln \frac{70}{39}$
$\displaystyle \therefore x \ln 5 = 3 \ln \frac{70}{39}$
$\displaystyle \therefore x = \frac{3 \ln \frac{70}{39}}{\ln 5}$
$\displaystyle \therefore x = ......$ Only kidding!! log/log CANNOT BE SIMPLIFIED - engrave (*ahem* metaphorically speaking) this fact on your skull.