What is simplify-ln(cos(x))-ln(x) ?

The solution to simplify-ln(cos(x))-ln(x) is -ln(cos(x)x)

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simplify-ln(cos(x))-ln(x)

simplify

- ln (cos (x)) - ln (x)

- ln (cos (x) x)

Solution steps

- ln (cos (x)) - ln (x)

Rewrite

- ln (cos (x)) - ln (x)

- (ln (cos (x)) + ln (x))

= - (ln (cos (x)) + ln (x))

Apply log rule:

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

ln (cos (x)) + ln (x) = ln (x cos (x))

= - ln (cos (x) x)

- lo g_{10} (1.43 \cdot 1 0^{- 3})

\frac{15 ln ( 6 )}{ln ( 7 )} + 1

0.026 \cdot ln (\frac{1 0 ^{17}}{1.4 \cdot 1 0 ^{10}})

2.9 9^{2} ln (1.04) - 9 ln (1.02)

\frac{7 cos ( 7 ln ( x ) )}{x} - sin (7 ln (x))

What is simplify-ln(cos(x))-ln(x) ?
The solution to simplify-ln(cos(x))-ln(x) is -ln(cos(x)x)