What is log_{10}((7x)/2) ?

The solution to log_{10}((7x)/2) is log_{10}(7)+log_{10}(x)-log_{10}(2)

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simplify log_{10}((7x)/2)

simplify

lo g_{10} (\frac{7 x}{2})

lo g_{10} (7) + lo g_{10} (x) - lo g_{10} (2)

Solution steps

lo g_{10} (\frac{7 x}{2})

Apply log rule:

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

lo g_{10} (\frac{7 x}{2}) = lo g_{10} (7 x) - lo g_{10} (2)

= lo g_{10} (7 x) - lo g_{10} (2)

Simplify

lo g_{10} (7 x) : lo g_{10} (7) + lo g_{10} (x)

= lo g_{10} (7) + lo g_{10} (x) - lo g_{10} (2)

lo g_{3} (9 x^{5})

ln (a + b) + ln (a - b) - 7 ln (c)

lo g_{7} (\frac{x ^{12}}{x - 3})

ln (\frac{1 - x}{( x + 4 ) ^{4}})

ln (\frac{3}{4 x ^{4} y})

What is log_{10}((7x)/2) ?
The solution to log_{10}((7x)/2) is log_{10}(7)+log_{10}(x)-log_{10}(2)