If a>1,b>1 and c>1 are in G.P. then show that 1+(log)ea1,1+(log)eb1,and1+(log)ec1 are in H.P.

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If {a}>{1},{b}>{1} and {c}>{1} are in G.P. then show that {{1}

Question

If $a > 1, b > 1$ and $c > 1$ are in G.P. then show that $\frac{1}{1 + ( lo g ) _{e} a}, \frac{1}{1 + ( lo g ) _{e} b}, a n d \frac{1}{1 + ( lo g ) _{e} c}$ are in H.P.

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Camila Discussed

a > 1, b > 1

and

c > 1

are in G.P. then show that

\frac{1}{1 + ( lo g ) _{e} a}, \frac{1}{1 + ( lo g ) _{e} b}, a n d \frac{1}{1 + ( lo g ) _{e} c}

are in H.P.

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Question Text

a > 1, b > 1

and

c > 1

are in G.P. then show that

\frac{1}{1 + ( lo g ) _{e} a}, \frac{1}{1 + ( lo g ) _{e} b}, a n d \frac{1}{1 + ( lo g ) _{e} c}

are in H.P.