l log4(8)

Evaluate the following logarithmic expression

log4(8)

Evaluate log4(8) using the Change of Base Formula

The formula for the change of base rule in logb(x) is as follows:

logb(x)  =  Ln(x)
  Ln(b)

Given b = 4 and x = 8, we have:

log4(8)  =  Ln(8)
  Ln(4)

log4(8)  =  2.0794415416798
  1.3862943611199

Final Answer


1.5