Rewrite as a single logarithm with a leading coefficient of 1.
-logY(1/12)
Using the property of logarithms that states that the logarithm of a quotient is equal to the difference of the logarithms of the numerator and denominator, we can rewrite the expression as:
-logY(1/12) = logY(12/1)
Now, using the property of logarithms that states that the logarithm of a number raised to a power is equal to the product of the power and the logarithm of the number, we can simplify further:
logY(12/1) = logY(12) - logY(1)
Since logY(1) = 0 for any base Y, we can drop the second term and obtain:
logY(12)
Therefore, the expression -logY(1/12) can be rewritten as logY(12) with a leading coefficient of 1.
To rewrite the expression as a single logarithm with a leading coefficient of 1, we'll use the logarithmic property called the inverse property. According to the inverse property, -logY(1/12) is equivalent to logY((1/12)^-1), which simplifies to logY(12).
Therefore, the expression -logY(1/12) can be rewritten as logY(12) with a leading coefficient of 1.
To rewrite -logY(1/12) as a single logarithm with a leading coefficient of 1, we can use the logarithmic identity: log base b of a = log base b of c^d, where d is the exponent.
Applying this identity, we can rewrite -logY(1/12) as logY[(1/12)^-1].
Since the reciprocal of a number raised to the power of -1 is the number itself, we can simplify further by removing the exponent: logY(12/1).
Finally, we can write the expression as a single logarithm with a leading coefficient of 1: logY(12).