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

The solution to log_{10}(3)+2log_{10}(5) is log_{10}(75)

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

simplify

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

lo g_{10} (75)

Decimal Notation

1.87506 \dots

Solution steps

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

Apply log rule:

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

2 lo g_{10} (5) = lo g_{10} (5^{2})

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

Apply log rule:

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

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

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

3 \cdot 5^{2} = 75

= lo g_{10} (75)

lo g_{10} (x) - 3 lo g_{10} (y)

10 lo g_{10} (\frac{x}{1 0 ^{- 12}})

ln (x) + ln (2 - x)

ln (n + 1) - ln (n)

ln (a + b) + ln (a - b) - 8 ln (c)

What is log_{10}(3)+2log_{10}(5) ?
The solution to log_{10}(3)+2log_{10}(5) is log_{10}(75)