Let and for all real

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Let

f(x)=e^{2x}

and

g(x)=5e^{x}

for all real

x

. For which values of

x

does

f

grow faster than

g

? (a)

x<\ln(2.5)

(b)

x>\ln 5

(c)

x>\ln(2.5)

(d)

x=\ln(2.5)

only