[tex]d) log_{5}(0.04) = log_{5}( \frac{4}{100} ) = log_{5}( \frac{1}{25} ) [/tex]
[tex] = log_{5}( {25}^{ - 1} ) = log_{5}( { ({5}^{2} )}^{ - 1} ) = log_{5}( {5}^{2 \times ( - 1)} ) [/tex]
[tex] = log_{5}( {5}^{ - 2} ) = - 2[/tex]
[tex]e) log_{0.5}(2) = log_{ \frac{5}{10} }(2) = log_{ \frac{1}{2} }(2) [/tex]
[tex] log_{ {2}^{ - 1} }(2) = - log_{2}(2) = - 1[/tex]
[tex]f)lg \: 0.001 = lg \: \frac{1}{1000} = lg \: {1000}^{ - 1} [/tex]
[tex] = - lg \: 1000 = - 3[/tex]
[tex]g)lg \: 10 = 1[/tex]
[tex]h)ln \: {e}^{5} = 5[/tex]
