Math, asked by vram90, 1 month ago

If a=1,b=2 and c=5, then what is the value of log√(abc)+log(abc)?​

Answers

Answered by psychogirl85
7

Step-by-step explanation:

given a=1,b=2& c=5

abc=10,

log√(abc)=log√10=0.5

log (abc)= log 10=1

log √(abc) + log (abc)=0.5+1=1.5

Answered by amitnrw
2

log√(abc)  + log(abc) = 1.5  if a=1,b=2 and c=5

Given:

  • a=1, b=2 and c=5

To Find :

Value of log√(abc)  + log(abc)

Solution:

a=1, b=2 and c=5

=> abc = 1*2*5 = 10

log√(abc)  + log(abc)

= log √10  + log 10

Identity log aⁿ = n log a

√10 = (10)^{\frac{1}{2} }

= (1/2) log 10 + log 10

log 10 = 1

= (1/2) (1) + 1

= 0.5 + 1

= 1.5

Hence log√(abc)  + log(abc) = 1.5  if a=1,b=2 and c=5

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