Question

If log2, log4 and logx are in AP , then find the value of x​.

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Answer 1

Answer:

8

Step-by-step explanation:

Answer 2

Given :-

• log2, log4 and logx are in AP .

To Find :-

• Value of x ?

Solution :-

we know that if a1, a2 and a3 are in AP ,

• common difference = a2 - a1 = a3 - a2 .

so,

→ a2 - a1 = log4 - log2

using log a - log b = log(a / b)

→ a2 - a1 = log (4/2)

→ a2 - a1 = log (2) --------------- Eqn.(1)

similarly,

→ a3 - a2 = log x - log 4

→ a3 - a2 = log (x/4) ----------- Eqn.(2)

then,

→ common difference = a2 - a1 = a3 - a2

therefore,

→ Eqn.(1) = Eqn.(2)

→ log (2) = log (x/4)

→ 2 = (x/4)

→ x = 8 (Ans.)

Learn more :-

if nth term in an A.P is 2n+9 then the common difference is

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