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

The solution to 3*log_{10}(2)+log_{10}(3) is log_{10}(24)

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simplify 3*log_{10}(2)+log_{10}(3)

simplify

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

lo g_{10} (24)

Decimal Notation

1.38021 \dots

Solution steps

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

Apply log rule:

b \cdot lo g_{a} (x) = lo g_{a} (x^{b})

3 lo g_{10} (2) = lo g_{10} (2^{3})

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

Apply log rule:

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

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

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

2^{3} \cdot 3 = 24

= lo g_{10} (24)

ln (2 ln (2))

ln (\frac{x ^{7} x ^{2} + 5}{( x + 5 ) ^{7}})

lo g_{2} (lo g_{3} (a) n t i lo g_{3} (8))

ln (\frac{x}{x + ln ( x )})

ln (\frac{e ^{5}}{5})

What is 3*log_{10}(2)+log_{10}(3) ?
The solution to 3*log_{10}(2)+log_{10}(3) is log_{10}(24)