Laws of logarithms
Logarithms · Mathematics
Study notes
Q: Expand log₂(8x³/y) and combine 2log(x) + 3log(y) - log(z). Part A: log₂(8x³/y) = log₂(8) + log₂(x³) - log₂(y) = 3 + 3log₂(x) - log₂(y). Part B: 2log(x) + 3log(y) - log(z) = log(x²) + log(y³) - log(z) = log(x²y³/z).