What is log_{10}(2^2)+log_{10}(5^3) ?

The solution to log_{10}(2^2)+log_{10}(5^3) is log_{10}(500)

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simplify log_{10}(2^2)+log_{10}(5^3)

simplify

lo g_{10} (2^{2}) + lo g_{10} (5^{3})

lo g_{10} (500)

Decimal Notation

2.69897 \dots

Solution steps

lo g_{10} (2^{2}) + lo g_{10} (5^{3})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (2^{2}) + lo g_{10} (5^{3}) = lo g_{10} (2^{2} \cdot 5^{3})

= lo g_{10} (2^{2} \cdot 5^{3})

2^{2} \cdot 5^{3} = 500

= lo g_{10} (500)

2 (ln (10) + ln (m))

ln (\frac{1}{( 4 x - 3 ) ^{4}})

lo g_{10} (\frac{x ^{8} y ^{9}}{z ^{3}})

lo g_{b} (x) + lo g_{b} (x) + lo g_{b} (3)

ln (\frac{1}{2.6})

What is log_{10}(2^2)+log_{10}(5^3) ?
The solution to log_{10}(2^2)+log_{10}(5^3) is log_{10}(500)