If a-b-c are in G-P- then log-a-n- log-b-n-log-c-n are in-G-P-H-P-NoneA-P-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Fundamental laws of logarithms

If a,b,c are ...

Question

If a,b,c are in G.P., then $l o g_{a} n, l o g_{b} n, l o g_{c} n$ are in

A.P.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

G.P.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

H.P.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

None

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

If a, b, c are in G.P., prove that log a, log b, log c are in A.P.

a, b, c

l o g a

l o g b

l o g c

a > 0, c > 0, b = \sqrt{a c}, a, c

a c \neq 1, N > 0

\frac{1}{2} \frac{{log}_{a} N}{{log}_{c} N} = \frac{{log}_{a} N - {log}_{b} N}{{log}_{b} N - {log}_{c} N}

[l o g_{b} a l o g_{c} a - l o g_{a} a] + [l o g_{a} b l o g_{c} b - l o g_{b} b] + [l o g_{a} c l o g_{b} c - l o g_{c} c] = 0

a, b, c

\frac{1}{{log}_{a} m}, \frac{1}{{log}_{b} m}, \frac{1}{{log}_{c} m}

Join BYJU'S Learning Program