Multiply both sides by 2.7186x - 14
Cancel on the left, distribute on the right:
=
119 = 7·2.7186x - 98
Add 98 to both sides:
217 = 7·2.7186x
Divide both sides by 7
31 = 2.7186x
Take natural logarithms of both sides:
ln(31) = ln(2.7186x)
Use the rule of lags that allows you to write the
log of an exponential as the exoponent multiplied
by the log of the vase of the exponential.
ln(31) = 6x·ln(2.718)
divide both sides by 6·ln(2.718)
= x
0.5723905486 = x
[Note that 2.718 is a close approximation to e = 2.718281828459...]
Edwin
