Simplify each of the following expressions without using a calculator. Leave answers in exact form.
$\log_{10}11+\log_{10}2+\log_{10}9$log1011+log102+log109
$\log_{10}12-\left(\log_{10}2+\log_{10}3\right)$log1012−(log102+log103)
Simplify each of the following expressions without using a calculator. Leave answers in exact form.
Evaluate $\log_33$log33.
Evaluate $\log_{10}0.1$log100.1.