First slide

Types of real valued functions XI

Question

If a, b, c are consecutive positive integers and $\log (1 + ac) = 2 K$ then the value of K is

Moderate

A

log b
B

log a
C

2
D

1

Solution

$\begin{array}{l} let a = x - 1, b = x, c = x + 1 \\ \begin{aligned} now \log (1 + ac) & = \log [1 + (x - 1) (x + 1)] \\ = \log x^{2} = 2 \log x = 2 \log b \\ \Rightarrow K = \log b \end{aligned} \end{array}$

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