If log2, log4 and logx are in AP , then find the value of x.
Share
If log2, log4 and logx are in AP , then find the value of x.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
8
Step-by-step explanation:
Given :-
To Find :-
Solution :-
we know that if a1, a2 and a3 are in AP ,
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
brainly.in/question/38154475