Answer the following:

MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Answer the following: (a) If

\log_{10}a

\log_{10}b

, and

\log_{10}c

are in arithmetic progression and

a=4

c=36

, find the value of

b

. (b) State whether the numbers

a

b

, and

c

obtained in part (a) form an arithmetic progression, a geometric progression, or neither.