Question

write log25 by 10 +log 100 by 10 as single logarithm.​

Answer 1

log 25 +log 100 = log 5² + log 10²

= 2(log5 + log 10)

= 2log5 + 2

=2(log(10/2)) + 2

= 2(1-log2) +2

= 4 - 2log2

=4- log4

or

log 25 + log 100 = log 2500 base 10 = log 50² = 2log 50