Question

If a, b, c are in G.P, then log a, log b and log c are in ____

• A. a(b² + c²) = c(b² + c²)
• B. a(b² + c²) = c(a² + b²)
• C. a²(b + c) = c²(a + b)
• D. none of these

Answer 1

The correct option is A a(b² + c²) = c(b² + c²)

If a,b,c are in G.P then

$\frac{b}{a}=\frac{c}{b}$

Taking log on both sides

log b - log a = log c - log b

$\Rightarrow$ 2log b = log a + log c

$\Rightarrow$ log a, log b and log c are in A.P