What is ln^3(x)-ln^{37}(-ln^3(y)) ?

The solution to ln^3(x)-ln^{37}(-ln^3(y)) is ln^3(-x/(ln^3(y)))

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simplify ln^3(x)-ln^{37}(-ln^3(y))

simplify

ln^{3} (x) - ln^{37} (- ln^{3} (y))

ln^{3} (- \frac{x}{ln ^{3} ( y )})

Solution steps

ln^{3} (x) - ln^{37} (- ln^{3} (y))

Apply log rule:

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

ln^{3} (x) - ln^{37} (- ln^{3} (y)) = ln^{3} (\frac{x}{- ln ^{3} ( y )})

= ln^{3} (\frac{x}{- ln ^{3} ( y )})

Apply the fraction rule:

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

= ln^{3} (- \frac{x}{ln ^{3} ( y )})

ln (b e^{m t})

ln (\frac{K ^{\frac{3}{4}} L}{K + 1})

ln (\frac{c}{2}) - ln (x)

2 lo g_{5} (- 6 lo g_{5} (y))

What is ln^3(x)-ln^{37}(-ln^3(y)) ?
The solution to ln^3(x)-ln^{37}(-ln^3(y)) is ln^3(-x/(ln^3(y)))