What is ln((5e)^9)-ln((6e)^8) ?

The solution to ln((5e)^9)-ln((6e)^8) is ln((1953125e)/(1679616))

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simplify ln((5e)^9)-ln((6e)^8)

simplify

ln ((5 e)^{9}) - ln ((6 e)^{8})

ln (\frac{1953125 e}{1679616})

Decimal Notation

1.15086 \dots

Solution steps

ln ((5 e)^{9}) - ln ((6 e)^{8})

Apply log rule:

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

ln ((5 e)^{9}) - ln ((6 e)^{8}) = ln (\frac{( 5 e ) ^{9}}{( 6 e ) ^{8}})

= ln (\frac{( 5 e ) ^{9}}{( 6 e ) ^{8}})

\frac{( 5 e ) ^{9}}{( 6 e ) ^{8}} = \frac{1953125 e}{1679616}

= ln (\frac{1953125 e}{1679616})

lo g_{10} (\frac{4 π}{23})

ln (379 e^{2 x + 3} e^{y + 5})

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

6 ln (a x)

\frac{1}{200} ln ∣ x ∣ - \frac{1}{200} ln ∣ x - 200 ∣

What is ln((5e)^9)-ln((6e)^8) ?
The solution to ln((5e)^9)-ln((6e)^8) is ln((1953125e)/(1679616))