The expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
What is a logarithmic function?
A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1
Expanding the given logarithm: log 2 x³y⁻²
Given logarithmic expression is log 2 x³y⁻²
Applying given properties of logarithmic function;
log a + log b = log (ab)
2 log a = log a^2
Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²
= log 3 + 3 log x - 2 log y
Hence, the expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
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<span>4 x 4 x 4 x 4 x 4 x 4 = 4^6
answer is 4^6</span>
Answer:

Step-by-step explanation:
Recall that the notation:
is the same as:
which means the value of the function f when you give it as input the value obtained by evaluating g(12).
Therefore, we need to start finding what g(12) is using the definition :
and evaluating it as x = 12.

So now we use this answer "2" as input for f(x):

Therefore, 
This is the all question?
Two point one three :)))))))))