If log103 = 0.477 and log105 = 0.698, then what is the value of log50 4.50?
Answer
Correct Answer : d ) 0.384
Explanation :We know that,
\(log_b\ a= {log_c\ a\over log_c\ b}=log_c\ a-log_c\ b, \) and \(log_c\ ab=log_c\ a+log_c\ b\)
Now, considering the given expression
log504.50
⇒\(log_{10}\ 4.5\over log_{10}\ 50\)
⇒\({log_{10}\ {45\over10}\over log_{10}\ 50}={log_{10}\ {(5×9)}-log_{10}\ 10 \over log_{10}\ {(5×10)}}\)
⇒l\(log_{10}\ 5+log_{10}\ 3^2-log_{10}\ 10\over log_{10}\ 5+log_{10}\ 10\)
We know that,
\(log\ a^m=m\ log \ a\) and \( log_{10} \ 10 = 1\)
⇒\(log_{10}\ 5+2log_{10}\ 3-log_{10}\ 10 \over log_{10}\ 5+log_{10}\ 10\)
From the given values,
⇒\({{0.698+2×0.477-1}\over {0.698+1}}={0.652\over1.698}≈0.3839\)
Hence, (d) is the correct answer.
Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, UPSC CDS, UPSC NDA etc.
Read Daily Current Affairs, Banking Awareness, Hindi Current Affairs, Word of the Day, and attempt free mock tests at PendulumEdu and boost your preparation for the actual exam.
Share QOTD
Word Of The Day
Hamper
Noun: A large basket with a cap or cover, used for storing or transporting goods.; A large basket used to carry food items or other articles used to give someone as a present.
Verb: To hold back or interfere.; If someone or something hampers someone or something, it means they are making something difficult or interfering with something you are trying to do.
"Pandemic has hampered our organization's growth."
View More
Comments