Please solve this

Asked by aastharoy997 | 6th Apr, 2020, 10:23: AM

Expert Answer:

Q: If log102 = 0.3010, log103 = 0.4771, then the value of log10108 is
Solution:
C o n s i d e r comma
log subscript 10 108 equals log subscript 10 left parenthesis 12 cross times 9 right parenthesis
equals log subscript 10 open parentheses 2 squared cross times 3 cross times 3 squared close parentheses
equals log subscript 10 open parentheses 2 squared cross times 3 cubed close parentheses
equals log subscript 10 space 2 squared space plus space log subscript 10 space 3 cubed space space... space open parentheses S i n c e space log space a b space equals space log space a space plus space log space b close parentheses
equals 2 space log subscript 10 2 space plus space 3 space log subscript 10 3
equals 2 open parentheses 0.3010 close parentheses plus 3 open parentheses 0.4771 close parentheses
equals 0.6020 plus 1.4313
equals 2.0333

Answered by Renu Varma | 6th Apr, 2020, 01:08: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.