What is ln((x+sin(x))(x-sin(x))) ?

The solution to ln((x+sin(x))(x-sin(x))) is ln(x+sin(x))+ln(x-sin(x))

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simplify ln((x+sin(x))(x-sin(x)))

simplify

ln ((x + sin (x)) (x - sin (x)))

ln (x + sin (x)) + ln (x - sin (x))

Solution steps

ln ((x + sin (x)) (x - sin (x)))

Apply log rule:

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

ln ((x + sin (x)) (x - sin (x))) = ln (x + sin (x)) + ln (x - sin (x))

= ln (x + sin (x)) + ln (x - sin (x))

ln (\frac{( 3 x - 1 ) ^{3} ( x + 3 ) ^{4}}{( y - 6 ) ^{5}})

lo g_{10} (\frac{9}{4})

- lo g_{10} (5.98 \cdot 1 0^{- 4})

- 4 + 4 lo g_{e} (\frac{3}{4 e})

10 \cdot lo g_{10} (\frac{4 \cdot 1 0 ^{- 7}}{1 0 ^{- 12}})

What is ln((x+sin(x))(x-sin(x))) ?
The solution to ln((x+sin(x))(x-sin(x))) is ln(x+sin(x))+ln(x-sin(x))