What is ln(x+y)+ln(x-y)+ln(x^6) ?

The solution to ln(x+y)+ln(x-y)+ln(x^6) is ln((x+y)(x-y)x^6)

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simplify ln(x+y)+ln(x-y)+ln(x^6)

simplify

ln (x + y) + ln (x - y) + ln (x^{6})

ln ((x + y) (x - y) x^{6})

Solution steps

ln (x + y) + ln (x - y) + ln (x^{6})

Apply log rule:

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

ln (x + y) + ln (x - y) = ln ((x + y) (x - y))

= ln ((x + y) (x - y)) + ln (x^{6})

Apply log rule:

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

ln ((x + y) (x - y)) + ln (x^{6}) = ln (x^{6} (x + y) (x - y))

= ln ((x + y) (x - y) x^{6})

ln (\frac{- y + 4}{y + 3})

ln (x) + ln (1 + x)

ln (\frac{13}{23})

- lo g_{10} (2 x 1 0^{- 10})

\frac{138}{8} (ln (68) - ln (4))

What is ln(x+y)+ln(x-y)+ln(x^6) ?
The solution to ln(x+y)+ln(x-y)+ln(x^6) is ln((x+y)(x-y)x^6)