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

The solution to 3log_{7}(2)+2log_{7}(3) is log_{7}(72)

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

simplify

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

lo g_{7} (72)

Decimal Notation

2.19777 \dots

Solution steps

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

3 lo g_{7} (2) = lo g_{7} (2^{3})

2 lo g_{7} (3) = lo g_{7} (3^{2})

= lo g_{7} (2^{3}) + lo g_{7} (3^{2})

Apply log rule:

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

lo g_{7} (2^{3}) + lo g_{7} (3^{2}) = lo g_{7} (2^{3} \cdot 3^{2})

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

2^{3} \cdot 3^{2} = 72

= lo g_{7} (72)

lo g_{8} (x - 6) + lo g_{8} (x + 6)

lo g_{10} (\frac{9 x}{y})

ln (9 + s^{2}) - ln (25 + s^{2})

lo g_{10} (4 a^{5} b^{4})

ln (\frac{154}{234})

What is 3log_{7}(2)+2log_{7}(3) ?
The solution to 3log_{7}(2)+2log_{7}(3) is log_{7}(72)