A line intersects the graphs and

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

A line

x=\lambda

intersects the graphs

y=\log_5x

and

y=\log_5(x+4)

. The distance between the points of intersection is

0.5

. Given

\lambda=a+\sqrt{b}

, where

a

and

b

are integers, find

a+b