in logarithms can there be log 4.5 or in any other decimals ?

Dear Student,
Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{Yes}. \\ {\log }_{\mathrm{a}}\left(\mathrm{x}\right) \mathrm{is} \mathrm{defined} \mathrm{when} \mathrm{x}>0 \mathrm{and} \mathrm{a}>0 \mathrm{and} \mathrm{a}\ne 1 \\ \mathrm{Hence} \log \left(4.5\right) \mathrm{or} \mathrm{any} \log \left( \mathrm{Positive} \mathrm{Decimal}\right) \mathrm{exists}. \end{gathered}$$

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