Write expression as the logarithm of a single number

log6 + log8 - log2

log (6) + log (8) - log (2) Answer:

Exact Form: ㏒ (24)

Decimal Form: 1.38021124

Explanation: Use the product property of logarithms,

㏒b (x) + ㏒b (y) = ㏒b (x y).

㏒ (6 ⋅ 8) - ㏒ (2).

⇒Use the quotient property of logarithms,

㏒ b (x) - ㏒ b (y) = ㏒ b (x y).

㏒ (6 ⋅ 8 / 2)

⇒Reduce the expression by cancelling the common factors.

Factor 2 out of 6 ⋅8.

log (2 (3 ⋅ 8) / 2)

Divide 3 ⋅ 8 by 1.

㏒ (3 ⋅ 8)

Multiply 3 by 8.

㏒ (24)

The result can be shown in both exact and decimal forms. Exact Form: ㏒ (24) Decimal Form: 1.38021124