Logarithm eqns

1/2log2(5) + log4(0.4) + log1/2(25)

Evaluate this logarithimic expression..

got stuck with the log4(0.4) and started to work about in circles >.<

numbers in brackets are not subscript

To evaluate, use your calculator
½log₂(5) + log₄(0.4) + log_½(25) = -4.144

If it is to simplify:

½log₂(5) + log₄(0.4) + log_½(25)

= ½log₂(5) + log₄(2/5) + log_½(5²)

= ½log₂(5) + [log₂(2/5)] / log₂(4)+ [log₂(5²)] / log₂(½)

= ½log₂(5) + [log₂(2) - log₂(5)] / 2 + 2log₂(5) / (-1)

= ½log₂(5) + ½log₂(2) - ½log₂(5) - 2log₂(5)

= ½log₂(2) - 2log₂(5)

= ½ - 2log₂(5)