Curve passes through and while curve passes through and

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

Problem

Curve

P

passes through

(0,1)

and

(1,3)

while curve

Q

passes through

(0,1)

and

(1,2)

. Both curves are of the form

y=k^{x}

with positive bases

k\neq1

. Which statement is true about their bases? (a) Base of

P

equals base of

Q

(b) Base of

P

is less than base of

Q

P

is greater than base of

Q

(d) Bases of

P

and

Q

are reciprocals of each other