If log a x- log b x- log c x be in H-P- then a- b- c are inA- A-PB- H-PC- G-PD- None of these

The correct option is C G.P Here log x/log a,log x/log b, log x/log c are in H.P. ⇒log a/log x,log b/log x, log c/log x are in A.P. ⇒ log_xa, log_ ...

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

Byju's Answer

Standard XI

Mathematics

Continuity of a Function

If log a x, l...

Question

If $l o g_{a} x, l o g_{b} x, l o g_{c} x$ be in H.P., then a,b,c are in

A.P

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

H.P

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

G.P

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

None of these

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

Open in App

Solution

The correct option is C
G.P

Here $\frac{l o g x}{l o g a}, \frac{l o g x}{l o g b}, \frac{l o g x}{l o g c}$ are in H.P.

$\Rightarrow \frac{l o g a}{l o g x}, \frac{l o g b}{l o g x}, \frac{l o g c}{l o g x}$ are in A.P.

$\Rightarrow l o g_{x} a, l o g_{x} b, l o g_{x} c$ are in A.P.

$\Rightarrow a, b, c$ are in G.P.

Note: Students should remember this question as afact

Suggest Corrections

Similar questions

Q. If

\frac{1}{l o g_{a} x} + \frac{1}{l o g_{c} x} = \frac{2}{l o g_{b} x}

, then a,b,c are in

If $l o g_{a} x, l o g_{b} x, l o g_{c} x$ be in H.P., then a,b,c are in

If a>0, b>0, c>0 are in G.P., then $l o g_{a} x, l o g_{b} x, l o g_{c} x$ are in

If $b^{2}$ , $a^{2}$ , $c^{2}$ are in A.P., then a + b, b + c, c + a will be in

Q. If x > 1, y > 1, z > 1 are in G.P, then

\frac{1}{1 + l o g x}, \frac{1}{1 + l o g y}, \frac{1}{1 + l o g z}

are in

Join BYJU'S Learning Program

If logax,logbx,logcx be in H.P., then a,b,c are in

The correct option is C G.P Here log xlog a, log xlog b, log xlog c are in H.P. ⇒log alog x, log blog x, log clog x are in A.P. ⇒logxa, logxb, logxc are in A.P. ⇒a,b,c are in G.P. Note: Students should remember this question as afact

If $l o g_{a} x, l o g_{b} x, l o g_{c} x$ be in H.P., then a,b,c are in