evaluate log 6 + 2log5+log 4 -log 3 -log 2
Answers
Answered by
40
hello friends......
solution:-
using formulas
log m×n= log m + log n
=>log 6 + 2log5+log 4 -log 3 -log 2 =
log 2×3 + 2log 5 + log 2×2 - log 3 -log 2
=> log 2 + log 3 +2 log 5 +log 2+ log 2 - log 3 - log 2
=> 2log 2 +2 log 5 = 2( log 2 + log 5)
=> 2log 2×5 = 2log 10 = 2 answer
♦♦ hope it helps ♦♦
solution:-
using formulas
log m×n= log m + log n
=>log 6 + 2log5+log 4 -log 3 -log 2 =
log 2×3 + 2log 5 + log 2×2 - log 3 -log 2
=> log 2 + log 3 +2 log 5 +log 2+ log 2 - log 3 - log 2
=> 2log 2 +2 log 5 = 2( log 2 + log 5)
=> 2log 2×5 = 2log 10 = 2 answer
♦♦ hope it helps ♦♦
Answered by
3
HELLO MATE ! the solution for your question is evaluated by the formula
log m*n=log m + log n
Step-by-step explanation:
log6 +2log5+log4-log3-log2
⇒log2+log3 +2log5+log2+log2-log3 -log2 (simplifying into small parts)
⇒ 2log2 + 2log5
⇒2(log2+log5) (taking common)
⇒2(log2×5)
⇒2log10
⇒2×1 (∵ log10=1)
⇒2
hope this answer helps you!!
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