Question

What is the value of the 2 log10 5 +log 10 4?

Answer 1

I hope this answer help you

Answer 2

$Value \:of \: 2log _{10} 5 + log _{10} 4\\= log _{10} 5^{2} + log _{10} 4$

$\boxed {\pink { Since, m log a = log a^{m} }}$

$= log _{10} 25 + log _{10} 4$

$= log _{10} (25 \times 4)$

$\boxed {\pink { Since, log m + log n = log \:(mn) }}$

$= log _{10} 100\\= log _{10} \:10^{2} \\= 2 log _{10} \: 10\\= 2$

$\boxed {\pink { Since,log_{a} \:a = 1 }}$

Therefore.,

$\red {Value \:of \: 2log _{10} 5 + log _{10} 4}\green { = 2}$

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