What is ln((3000)/(ln(3))) ?

The solution to ln((3000)/(ln(3))) is ln(3000)-ln(ln(3))

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simplify ln((3000)/(ln(3)))

simplify

ln (\frac{3000}{ln ( 3 )})

ln (3000) - ln (ln (3))

Decimal

7.91231 \dots

Solution steps

ln (\frac{3000}{ln ( 3 )})

Apply log rule:

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

ln (\frac{3000}{ln ( 3 )}) = ln (3000) - ln (ln (3))

= ln (3000) - ln (ln (3))

- lo g_{10} (1.26 x 1 0^{- 3})

lo g_{6} (m) + \frac{2}{3} lo g_{6} (n)

ln (x) + 5 \cdot ln (y) - 6 \cdot ln (z)

ln (\frac{e ^{x}}{3})

2 ln ((x + 2)^{2}) - ln (x)

What is ln((3000)/(ln(3))) ?
The solution to ln((3000)/(ln(3))) is ln(3000)-ln(ln(3))