Posted by Anonymous on Wednesday, July 15, 2009 at 11:57am.
Prove that log a, log ar, log ar^2 is an a.p.
Is the following below correct?
Log ar^2  Log ar= Log ar  Log a
hence applying laws of logarithm
Log(ar^2/ar) = log(ar/a)
Log and log cancels out and then crossmultiply
hence a^2r^2 = a^2r^2
L.H.S=R.H.S
Hence proved?

Mathematics  bobpursley, Wednesday, July 15, 2009 at 12:07pm
log a, log ar, log ar2, ...log a (r)^n
now, log ar^n=log a + n log r
consider the next term
log ar^(n+1)= log a + (n+1)log r
then
log ar^(n+1)log ar^n= log r which is a constant. Therefor, the progression is arithemetic.
Answer This Question
Related Questions
 math  Logarithm!!! Select all of the following that are true statements: (a) ...
 Math Help Please  Which of the following expressions is equal to log (x sqrty...
 math  write as a single logarithm: 2logbase3(1/x)+(1/3)logbase3(square root of...
 Algebra 2  how do not understand how to do this Log X + Lob (X3) = 1 I know I ...
 math(Please help)  1) use the properties of logarithms to simplify the ...
 college algebra  Write expression as one logarithm and simplify if appropriate...
 Precaculculus  Suppose you are told that log(2)=0.3562 and log(3)=0.5646. All ...
 Trigonometry  This is a logs question If u=x/y^2, which expression is ...
 Algebra 2  Explain the difference between log base b (mn) and ( log base b of ...
 Advanced Functions/ Precalculus Log  1. Evaluate 4^(log base4 64) + 10^(log100...
More Related Questions