What is log_{10}((9x)/5) ?

The solution to log_{10}((9x)/5) is 2log_{10}(3)+log_{10}(x)-log_{10}(5)

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simplify log_{10}((9x)/5)

simplify

lo g_{10} (\frac{9 x}{5})

2 lo g_{10} (3) + lo g_{10} (x) - lo g_{10} (5)

Solution steps

lo g_{10} (\frac{9 x}{5})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{9 x}{5}) = lo g_{10} (9 x) - lo g_{10} (5)

= lo g_{10} (9 x) - lo g_{10} (5)

Simplify

lo g_{10} (9 x) : 2 lo g_{10} (3) + lo g_{10} (x)

= 2 lo g_{10} (3) + lo g_{10} (x) - lo g_{10} (5)

lo g_{3} (16) + 2 \cdot lo g_{3} (x) - 2 \cdot lo g_{3} (y)

ln (x (x + 7))

lo g_{6} (z^{4} x)

lo g_{10} (\frac{5 b}{4})

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

What is log_{10}((9x)/5) ?
The solution to log_{10}((9x)/5) is 2log_{10}(3)+log_{10}(x)-log_{10}(5)