Evaluating log12y2 using properties of logarithms | Step-by-step guide

Evaluate log12y2, given log12y = 16.

To evaluate log12y2, we can use the properties of logarithms

To evaluate log12y2, we can use the properties of logarithms.

We are given that log12y = 16. This means that 12 raised to the power of 16 is equal to y:

12^16 = y

Now, let’s substitute this value of y into log12y2:

log12(y^2)

Using the properties of logarithms, we can rewrite this as:

2 * log12y

Substituting the given value of log12y = 16:

2 * 16

= 32

Therefore, log12y2 = 32.

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