How do you simplify ${log}_{10} (10^{\frac{1}{2}})$ $log_10 (10^(1/2))$ ?

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Answer 1 · 2016-04-14T08:04:09

$\frac{1}{2}$ $1/2$

${log a}^{m} = m log a and {log}_{a} a = 1$ $log a^m=mlog a and log_aa=1$

${log}_{10} (10^{\frac{1}{2}}) = \frac{1}{2} {log}_{10} 10 = \frac{1}{2}$ $log_10(10^(1/2))=1/2 log_10 10=1/2$

How do you simplify log10(1012)log_10 (10^(1/2))?