Home
Class 12
MATHS
If a,b,c are threee consecutive positi...

If a,b,c are threee consecutive positive integers show that log (1+ac)=2logb

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CHHAYA PUBLICATION|Exercise Multiple Choice Type Question|14 Videos

  • LOGARITHM

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Question|17 Videos

  • LINEAR PROGRAMMING GRAPHICAL METHOD

    CHHAYA PUBLICATION|Exercise Assertion Reason Type|2 Videos

  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise Sample questions (Assertion -Reason type C)|3 Videos

Similar Questions

Explore conceptually related problems

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

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

If the roots of the cubic equation, x^3+a x^2+b x+c=0 are three consecutive positive integers, then the value of (a^2//(b+1)) is equal to?

If x, y, z be three consecutive intergers, then prove that log(1+xz) = 2 log y

If a,b,c be three such positive numbers (none of them is 1) that (log_(b)a log_(c )a-log_(a)a) + (log_(a)b log_(c )b-log_(b)b) + (log_(a)c log_(b)c-log_(c )c) = 0 , the prove that abc = 1.

Find two consecutive positive integers, sum of whose squares is 613.

If a, b and c are three positive real numbers, show that a^2 + b^2 + c^2 ge ab + bc + ca

If a,b,c be three distinct positive numbers, each different from 1 such that ("log"_ba"log"_ca-"log"_aa)+("log"_ab"log"_cb-"log"_b b)+("log"_ac"log"_bc-"log"_c c)=0 , then prove that abc=1

Find two consecutive positive odd integers, sum of whose squares is 290.