What is factor tx(ln(tx)-ln(ty)-1) ?

The solution to factor tx(ln(tx)-ln(ty)-1) is tx(ln(x/y)-1)

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factor tx(ln(tx)-ln(ty)-1)

factor

t x (ln (t x) - ln (t y) - 1)

t x (ln (\frac{x}{y}) - 1)

Solution steps

t x (ln (t x) - ln (t y) - 1)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (t x) - ln (t y) = ln (\frac{t x}{t y})

= t x (ln (\frac{t x}{t y}) - 1)

Cancel the common factor:

t

= t x (ln (\frac{x}{y}) - 1)

ln (x) + ln (\frac{y}{x} + 4)

lo g_{10} (191.7 x^{432})

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

ln (x) - ln (x - 5000)

ln (8) + 4 ln (4)

What is factor tx(ln(tx)-ln(ty)-1) ?
The solution to factor tx(ln(tx)-ln(ty)-1) is tx(ln(x/y)-1)