The graph of the function is reflected in the line

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

The graph of the function

y = 5^{x}

is reflected in the line

y = x

. Which option gives both the equation of the reflected curve and the equation of its vertical asymptote? (a)

y = 5^{x},\; \text{asymptote } x = 0

(b)

y = \log_{5} x,\; \text{asymptote } y = 0

(c)

y = \log_{5} x,\; \text{asymptote } x = 0

(d)

y = \log_{10} x,\; \text{asymptote } x = 0