Use the properties of logarithms to rewrite each expression in an equivalent form containing a single logarithm.
1/2 log(16) + log(3) + log 1/4

= log(3)

Step-by-step explanation:

Given equation:

now,

we know the properties of log function as:

1) log(A) + log(B) = log(AB)

2) log(A) - log(B) =

3) log(Aᵇ) = b × log(A)

therefore,

using property 3 we get

or

now,

using the property 2 we get

⇒ log(4) + log(3) + log(1) - log(4)

or

⇒ log(3) + log(1)

now,

using the property 1, we get

⇒ log(3 × 1)

or

⇒ log(3)

the answer is c. 23/3

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: