14e^t=9(4.8)^t

Question

solve.

"e" stands for continuously.

Answer 1

e stand for euler's konstant=2.718281828...

14*e^t = 9*(4.8)^t

e^t=(9/14)*4.8^t...0.642857142*(4.8)^t

ln(e^t)=t.....=ln(0.642857142) + t*ln(4.8)]

t*[1-ln(4.8)]=ln(0.642857142)=-0.441832752

t=-0.441832752 / [1-1.568615918]

=-0.441832752 / (-0.568615918)

=+0.777031979