Question

value of
$log_{10}(100) + log_{2}(8)$
​

Answer 1

Answer:

$log_{10}(100) + log_{2}(8) = 5$✔✔

Step-by-step explanation:

$log_{10}(100) + log_{2}(8) \\ = log_{10}( {10}^{2} ) + log_{2}( {2}^{3} ) \\ = 2 log_{10}(10) + 3 log_{2}(2) \\ = 2 \times 1 + 3 \times 1 \: \: \: \: \: \: \: \: ( log_{a}(a) = 1) \\ = 2 + 3 \\ = 5$

Answer 2

$log_{10}(100) + log_{2}(8) \\ log_{10}( {10)}^{2} + log_{2} ({2})^{3} \\ 2 log_{10}(10) + 3 log_{2}(2) \\ 2 + 3 \\ 5$