What is ln((7000)/(ln(4))) ?

The solution to ln((7000)/(ln(4))) is ln(7000)-ln(2ln(2))

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simplify ln((7000)/(ln(4)))

simplify

ln (\frac{7000}{ln ( 4 )})

ln (7000) - ln (2 ln (2))

Decimal Notation

8.52703 \dots

Solution steps

ln (\frac{7000}{ln ( 4 )})

Apply log rule:

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

ln (\frac{7000}{ln ( 4 )}) = ln (7000) - ln (ln (4))

= ln (7000) - ln (ln (4))

Simplify

ln (4) : 2 ln (2)

= ln (7000) - ln (2 ln (2))

ln (\frac{4}{3 x ^{3} y})

lo g_{2} (\frac{7 r ^{7}}{z ^{5}})

lo g_{10} (\frac{x ^{2}}{5})

3 lo g_{b} (x) - lo g_{b} (2) - lo g_{b} (x + 2)

lo g_{10} (\frac{x ^{4}}{y ^{3}})

What is ln((7000)/(ln(4))) ?
The solution to ln((7000)/(ln(4))) is ln(7000)-ln(2ln(2))