What is log_{2}(5)-log_{3}(7)+log_{2}(3) ?

The solution to log_{2}(5)-log_{3}(7)+log_{2}(3) is log_{2}(15)-log_{3}(7)

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simplify log_{2}(5)-log_{3}(7)+log_{2}(3)

simplify

lo g_{2} (5) - lo g_{3} (7) + lo g_{2} (3)

lo g_{2} (15) - lo g_{3} (7)

Decimal Notation

2.13564 \dots

Solution steps

lo g_{2} (5) - lo g_{3} (7) + lo g_{2} (3)

Apply log rule:

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

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

= lo g_{2} (5 \cdot 3) - lo g_{3} (7)

Multiply the numbers:

5 \cdot 3 = 15

= lo g_{2} (15) - lo g_{3} (7)

lo g_{10} (d) - 6 lo g_{10} (g)

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

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

lo g_{2} (4 x^{3})

lo g_{4} (x^{2} - 4) - 5 lo g_{4} (x + 2)

What is log_{2}(5)-log_{3}(7)+log_{2}(3) ?
The solution to log_{2}(5)-log_{3}(7)+log_{2}(3) is log_{2}(15)-log_{3}(7)