Question #c88f8

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Answer 1 · 2017-10-17T13:50:10

see below

we need the rules of logs

#log_a b=c=>a^c=b---(1)#

#log_aX*Y=log_aX+log_aY---(2)#

#log_aX^n=nlog_aX--(3)#

#log_2(5^2*4^5)#

#=log_2 5^2+log_2 4^5" by "(2)#

#=2log_2 5+5log_2 4" by"(3)#

#=2log_2 5+5xx2" by"(1)#

#=2log_2 5+10#