What is log_{4}(5)+log_{4}(7) ?

The solution to log_{4}(5)+log_{4}(7) is log_{4}(35)

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simplify log_{4}(5)+log_{4}(7)

simplify

lo g_{4} (5) + lo g_{4} (7)

lo g_{4} (35)

Decimal Notation

2.56464 \dots

Solution steps

lo g_{4} (5) + lo g_{4} (7)

Apply log rule:

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

lo g_{4} (5) + lo g_{4} (7) = lo g_{4} (5 \cdot 7)

= lo g_{4} (5 \cdot 7)

Multiply the numbers:

5 \cdot 7 = 35

= lo g_{4} (35)

3 lo g_{10} (m) - 2 lo g_{10} (n)

6 ln (- 3 (- 1)) - 3

lo g_{10} (\frac{x ^{3} y ^{4}}{z ^{6}})

lo g_{10} (a y^{2})

What is log_{4}(5)+log_{4}(7) ?
The solution to log_{4}(5)+log_{4}(7) is log_{4}(35)