Rewrite as a single logarithm with a leading coefficient of 1.

Question

-logY(1/12)

Answer 1

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.