What is log_{5}(7)+log_{5}(6) ?

The solution to log_{5}(7)+log_{5}(6) is log_{5}(42)

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simplify log_{5}(7)+log_{5}(6)

simplify

lo g_{5} (7) + lo g_{5} (6)

lo g_{5} (42)

Decimal Notation

2.32234 \dots

Solution steps

lo g_{5} (7) + lo g_{5} (6)

Apply log rule:

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

lo g_{5} (7) + lo g_{5} (6) = lo g_{5} (7 \cdot 6)

= lo g_{5} (7 \cdot 6)

Multiply the numbers:

7 \cdot 6 = 42

= lo g_{5} (42)

7 lo g_{b} (y) - \frac{1}{3} lo g_{b} (x) + 5 lo g_{b} (z)

- lo g_{10} (9 \times 1 0^{- 5})

ln (\frac{1}{2} (1 + e^{- x}))

\frac{1}{5} ln (3)

lo g_{\frac{a}{2}} (\frac{a ^{2}}{4})

What is log_{5}(7)+log_{5}(6) ?
The solution to log_{5}(7)+log_{5}(6) is log_{5}(42)