To simplify this expression, we will use the properties of logarithms:
Given expression:
2log2 3 + log7 2 - log7 14
= log2 (3^2) + log7 2 - log7 14= log2 9 + log7 2 - log7 14= log2 9 + log7 (2/14)= log2 9 + log7 (1/7)= log2 9 + log7 1 - log7 7= log2 9 + 0 - 1= log2 9 - 1= log2 9 - log2 2= log2 (9/2)= log2 (4.5)
Therefore, the simplified expression is log2 (4.5).
To simplify this expression, we will use the properties of logarithms:
log(a) + log(b) = log(ab)log(a) - log(b) = log(a/b)Given expression:
2log2 3 + log7 2 - log7 14
= log2 (3^2) + log7 2 - log7 14
= log2 9 + log7 2 - log7 14
= log2 9 + log7 (2/14)
= log2 9 + log7 (1/7)
= log2 9 + log7 1 - log7 7
= log2 9 + 0 - 1
= log2 9 - 1
= log2 9 - log2 2
= log2 (9/2)
= log2 (4.5)
Therefore, the simplified expression is log2 (4.5).