Question

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

Answer 1

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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