MyQuestionIcon

1

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

Fundamental Laws of Logarithms

If log10 2=0....

Question

If $l o g_{10} 2 = 0.30103$ , then $l o g_{10} 50 =$

A

2.30103

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

B

2.69897

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

C

1.69897

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

D

0.69897

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

Open in App

Solution

The correct option is C 1.69897
$l o g_{10} 50 = l o g_{10} \frac{100}{2}$
$= l o g_{10} 10^{2} - l o g_{10} 2$
$= 2 l o g_{10} 10 - l o g_{10} 2 = 2 - (0.30103)$

Suggest Corrections

thumbs-up

6

Similar questions

l o g_{10} 2 = 0.30103

l o g_{10} 50 =

l o g_{10} 2 = 0.30103, l o g_{10} 3 = 0.47712

, the number of digits in

3^{12} \times 2^{8}

{log}_{10} 2 = 0.3010

{log}_{10} 50

0.3 < {log}_{10} 2 < 0.30103

, then the number of digits in

2^{100}

l o g_{10} 2 = 0.3010

l o g_{10}

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 XIII Mathematics

Join BYJU'S Learning Program

CrossIcon