MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Fundamental Laws of Logarithms

If log a b=lo...

Question

If $l o g_{a} b = l o g_{b} c = l o g_{c} a$ , then a, b, c are such that __________ .

A

a = b = c

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

B

a = b ≠ c

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

C

a ≠ b = c

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

D

a = c ≠ b

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

Open in App

Solution

The correct option is A
a = b = c

If $l o g_{a} b = l o g_{b} c = l o g_{c} a$ , then $a = b = c .$

Suggest Corrections

thumbs-up

0

Similar questions

\frac{log a}{b - c} = \frac{log b}{c - a} = \frac{log c}{a - b},

a, b, c

are distinct and in G.P and

{log}_{c} a, {log}_{b} c, {log}_{a} b

are in A.P, then the difference of this A.P is

{log}_{b} a + {log}_{c} a + {log}_{a} b + {log}_{a} c + {log}_{b} c + {log}_{c} b = 3

a, b, c

are different positive real numbers

\neq 1

), then find the value of

a b c

a, b, c

l o g_{c} a, l o g_{b} c, l o g_{a} b

be in A.P., then show that the common difference of the A.P is

a, b, c

be distinct positive integers in G .P and

{log}_{c} a, {log}_{b} c, {log}_{a} b

be in A.P., then common difference of this A.P. is-

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Fundamental Laws of Logarithms

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Fundamental Laws of Logarithms

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon