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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (2 sin (x)) = lo g_{10} (2) + lo g_{10} (sin (x))

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

\frac{1}{2} ln (4 + y^{2}) - \frac{1}{2} ln (1 - y^{2})

20 \cdot lo g_{10} (\frac{4 \cdot π \cdot 30}{\frac{300}{175}})

\frac{100}{7} ln (5)

lo g_{\frac{1}{2}} (1 \cdot 1 0^{- 9})

ln (5 \cdot e^{- \frac{q}{r t}})

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