G(x) appears to be a vertical expansion of f(x) by a factor of 3. f(x) appears to be
.. f(x) = x²
so g(x) would be
.. g(x) = 3x²
Multiplying by 2, the next one would be 160
Log w (x^2-6)^4
Using log a b = log a + log b, with a=w and b=(x^-6)^4:
log w (x^2-6)^4 = log w + log (x^2-6)^4
Using in the second term log a^b = b log a, with a=x^2-6 and b=4
log w (x^2-6)^4 = log w + log (x^2-6)^4 = log w + 4 log (x^2-6)
Then, the answer is:
log w (x^2-6)^4 = log w + 4 log (x^2-6)
