What is ((ln(ln(x)-ln(ln(y)))))/((1-2)) ?

The solution to ((ln(ln(x)-ln(ln(y)))))/((1-2)) is -ln(ln(x/(ln(y))))

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simplify ((ln(ln(x)-ln(ln(y)))))/((1-2))

simplify

\frac{( ln ( ln ( x ) - ln ( ln ( y ) ) ) )}{( 1 - 2 )}

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

Solution steps

\frac{( ln ( ln ( x ) - ln ( ln ( y ) ) ) )}{( 1 - 2 )}

Apply log rule:

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

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

= \frac{ln ( ln ( \frac{x}{l n ( y )} ) )}{1 - 2}

Subtract the numbers:

1 - 2 = - 1

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

Apply the fraction rule:

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

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

Apply the fraction rule:

\frac{a}{1} = a

\frac{ln ( ln ( \frac{x}{l n ( y )} ) )}{1} = ln (ln (\frac{x}{ln ( y )}))

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

\frac{3}{8} \cdot ln (\frac{8}{3}) + \frac{5}{16} \cdot ln (\frac{16}{5}) + \frac{5}{16} \cdot ln (\frac{16}{5})

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

- lo g_{10} (5.1 \cdot 1 0^{- 11})

2 ln (\frac{4}{3})

ln (\frac{3 ^{x}}{( 1 + x ^{3} ) ^{2}})

What is ((ln(ln(x)-ln(ln(y)))))/((1-2)) ?
The solution to ((ln(ln(x)-ln(ln(y)))))/((1-2)) is -ln(ln(x/(ln(y))))