What is sin(2ln(x))x^{-2}sin(ln(x)) ?

The solution to sin(2ln(x))x^{-2}sin(ln(x)) is (sin(2ln(x))sin(ln(x)))/(x^2)

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simplify sin(2ln(x))x^{-2}sin(ln(x))

simplify

sin (2 ln (x)) x^{- 2} sin (ln (x))

\frac{sin ( 2 ln ( x ) ) sin ( ln ( x ) )}{x ^{2}}

Solution steps

sin (2 ln (x)) x^{- 2} sin (ln (x))

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{x ^{2}} sin (2 ln (x)) sin (ln (x))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot sin ( 2 ln ( x ) ) sin ( ln ( x ) )}{x ^{2}}

Multiply:

1 \cdot sin (2 ln (x)) = sin (2 ln (x))

= \frac{sin ( 2 ln ( x ) ) sin ( ln ( x ) )}{x ^{2}}

8 π \cdot 1 0^{- 7}

ln (3) \cdot ln (3)

4 π \cdot 1 0^{- 7} \cdot 80 \cdot 3

e^{- n l n (1 - β x)}

What is sin(2ln(x))x^{-2}sin(ln(x)) ?
The solution to sin(2ln(x))x^{-2}sin(ln(x)) is (sin(2ln(x))sin(ln(x)))/(x^2)