The greatest common factor of the terms in the binomial \( 4 x-12 \) is 4 . The greatest common factor of the terms in the binomial \( 4 x+12 \) is 4 . What is the greatest common factor of the terms in their product, \( (4 x-12)(4 x+12) \), when it has been multiplied out?

Determine the inverse function of \( f(x)=5^{x}+1 \).

Use the definition of the logarithms to evaluate the following logarithms. a. \( \log _{8}\left(\frac{1}{8}\right)=\square \) b. \( \log _{4}\left(\frac{1}{64}\right)=\square \) c. \( \log _{6}(1)=\square \)

\( \$ 3000 \) are invested in a bank account at an interest rate of 5 percent per year. Find the amount in the bank after 8 years if interest is compounded annually. Find the amount in the bank after 8 years if interest is compounded quarterly. Find the amount in the bank after 8 years if interest is compounded monthly. Finally, find the amount in the bank after 8 years if interest is compounded continuously.

2. Sebuah kelas terdiri dari 6 siswa dan berikut adalah data tinggi badan mereka dalam am: 160,165 , \( 170,175,180,185 \). Tentukan nilai median dari data tersebut \( \begin{array}{ll}\text { a) } 170 & \text { b) } 172,5 \\ \text { c) } 175,5 & \text { d) } 175\end{array} \)

1. Aplica derivada implícita a la siguiente ecuación: \( x^{2}+y^{2}=25 \)