How do you solve #6.27e^x#?

1 Answer
Mar 8, 2017

Answer:

No solution

Explanation:

Usually when the question says to solve an equation, you are looking for values of #x# where #y = 0#.

The exponential equation: #y = 6.27e^x = 0# does not have any #x# values where #y = 0#.

If you divide both sides of the equation by #6.27#
#(6.27e^x)/6.27 = 0/6.27# ; #e^x = 0#

When you log both sides:
#ln e^x = ln 0#

Logarithm property #ln e^x = x#:
#x = ln 0 = "undefined"#

From the graph of #y = 6.27e^x #, the #x#-axis is a horizontal asymptote:

graph{y = 6.27e^x [-14.55, 5.45, -2.52, 7.48]}