If ( _ 10 (x-1), , _ 10 x, , _ 10 (x+9) ) are consecutive terms of an arithmetic…

MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra

Problem

\log_{10}(x-1),\,\log_{10}x,\,\log_{10}(x+9)

are consecutive terms of an arithmetic progression, then the value of

x

is (a)

4

(b)

\dfrac{\sqrt{85}-7}{2}

(c)

3(\sqrt{2}-1)

(d)

\dfrac{9}{8}