What is log_{5}(8)+log_{5}(12) ?

The solution to log_{5}(8)+log_{5}(12) is log_{5}(96)

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simplify log_{5}(8)+log_{5}(12)

simplify

lo g_{5} (8) + lo g_{5} (12)

lo g_{5} (96)

Decimal Notation

2.83598 \dots

Solution steps

lo g_{5} (8) + lo g_{5} (12)

Apply log rule:

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

lo g_{5} (8) + lo g_{5} (12) = lo g_{5} (8 \cdot 12)

= lo g_{5} (8 \cdot 12)

Multiply the numbers:

8 \cdot 12 = 96

= lo g_{5} (96)

5 lo g_{b} (m) - lo g_{b} (n)

3 ln (x) + 2 ln (y) - 6 ln (z)

lo g_{10} (x) - lo g_{10} (2)

lo g_{10} (100 y^{4} \times \frac{y + 5}{y - 5})

lo g_{4} (\frac{16}{x + 7})

What is log_{5}(8)+log_{5}(12) ?
The solution to log_{5}(8)+log_{5}(12) is log_{5}(96)