If a -log 24 12- b -log 36 24- c -log 48 36- then 1- abc is equal toA- 2 aCB- 2 bcC- None of theseD- 2 ab

The correct option is B 2 bcabc=log12/log24.log24/log36.log36/log48=log12/log48 ∴ 1+abc=log48+log12/log48=log(48.12)/log48 =log24^2/log48=2.log24/log 48=2bc ...

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

Byju's Answer

Standard IX

Mathematics

Fundamental Laws of Logarithms

If a =log 24 ...

Question

If $a = l o g_{24} 12, b = l o g_{36} 24, c = l o g_{48} 36$ , then 1 + abc is equal to

2 ac

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

2 bc

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

2 ab

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

None of these

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

Open in App

Solution

The correct option is B 2 bc
$a b c = \frac{l o g 12}{l o g 24} . \frac{l o g 24}{l o g 36} . \frac{l o g 36}{l o g 48} = \frac{l o g 12}{l o g 48}$
$∴ 1 + a b c = \frac{l o g 48 + l o g 12}{l o g 48} = \frac{l o g (48.12)}{l o g 48}$
$= \frac{l o g 24^{2}}{l o g 48} = 2. \frac{l o g 24}{l o g 48} = 2 b c$

Suggest Corrections

Similar questions

Q. If

a = l o g_{24} 12, b = l o g_{36} 24, c = l o g_{48} 36

, then

1 + a b c

is equal to

Q. If

a = l o g_{24} 12, b = l o g_{36} 24, c = l o g_{48} 36

, then 1 + abc is equal to

Q. If

a = l o g_{24} 12, b = l o g_{36} 24, c = l o g_{48} 36

, then

1 + a b c

is equal to

If $a = l o g_{24} 12, b = l o g_{36} 24, c = l o g_{48} 36$ , then $1 + a b c$ is equal to

Q. If

a = l o g_{24} 12, b = l o g_{36} 24 a n d c = l o g_{48} 36

then 1+abc is equal to

Join BYJU'S Learning Program

If a=log24 12,b=log36 24,c=log48 36, then 1 + abc is equal to

The correct option is B 2 bcabc=log12log24.log24log36.log36log48=log12log48 ∴ 1+abc=log48+log12log48=log(48.12)log48 =log242log48=2.log24log48=2bc

If $a = l o g_{24} 12, b = l o g_{36} 24, c = l o g_{48} 36$ , then 1 + abc is equal to