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Popular >

simplify cos(x)-ln(2x)

Solution

simplify

cos (x) - ln (2 x)

Solution

cos (x) - ln (2) - ln (x)

Solution steps

cos (x) - ln (2 x)

Apply log rule:

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

ln (2 x) = ln (2) + ln (x)

= cos (x) - (ln (x) + ln (2))

- (ln (2) + ln (x)) : - ln (2) - ln (x)

= cos (x) - ln (2) - ln (x)

Popular Examples

simplify (log_{5}(x+y)+2log_{5}(y))-3log_{5}(x)simplify

(lo g_{5} (x + y) + 2 lo g_{5} (y)) - 3 lo g_{5} (x)

expand log_{4}((x^2)/(3y))expand

lo g_{4} (\frac{x ^{2}}{3 y})

simplify 2log_{10}(8)-4log_{10}(x)simplify

2 lo g_{10} (8) - 4 lo g_{10} (x)

simplify ln((1.308x10^{-4})/(6.44x10^{-3)})simplify

ln (\frac{1.308 x 1 0 ^{- 4}}{6.44 x 1 0 ^{- 3}})

simplify ln(x)-ln(a)simplify

ln (x) - ln (a)

Frequently Asked Questions (FAQ)

What is cos(x)-ln(2x) ?
The solution to cos(x)-ln(2x) is cos(x)-ln(2)-ln(x)