Given that log(4)=0.6021, find the value of the logarithm. log(sqrt(4)

Answer 1

For the expression log_b(m)ⁿ a property of logarithms allows you to bring the exponent out front and multiply it by the logarithm so:

log_b(m)ⁿ = n•log_b(m)

Since √4 = 4^1/2 then log(√4) = log(4)^1/2 = 1/2•log(4) = 1/2•(0.6021) = 0.30105