l log2(8x^4/5)

Expand the following

log2(8x4/5)

A logarithmic identity states:

log(a) - log(b)  =  log(a)
  log(b)

With a = 8x4 and b = 5, we have

log2(8x4) - log2(5)

Simplify log2(8x4)

Use the logarithmic identity below

logb(m)n = n * logb(m)

Shift the exponent of 4in front
4log(2(8x)

One logarithmic identity says:

log(ab) = log(a) +

With a = 8 and b = x, we have

4log2(8x) = 4log2(8) + 4log2(x)

Build our final answer:


4log2(8) + 4log2(x) -log2(5)