What is simplify-(ln(42))/(ln(7)-ln(6)) ?

The solution to simplify-(ln(42))/(ln(7)-ln(6)) is -(ln(42))/(ln(7/6))

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simplify-(ln(42))/(ln(7)-ln(6))

simplify

- \frac{ln ( 42 )}{ln ( 7 ) - ln ( 6 )}

- \frac{ln ( 42 )}{ln ( \frac{7}{6} )}

Decimal Notation

- 24.24685 \dots

Solution steps

- \frac{ln ( 42 )}{ln ( 7 ) - ln ( 6 )}

Apply log rule:

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

ln (7) - ln (6) = ln (\frac{7}{6})

= - \frac{ln ( 42 )}{ln ( \frac{7}{6} )}

ln (u) - \frac{1}{2} ln 1 + u^{2} + \frac{1}{2 ( 1 + u ^{2} )} + C

(- \frac{1}{3}) ln (\frac{2}{3})

ln (\frac{x ^{8} x ^{2} + 2}{( x + 2 ) ^{3}})

lo g_{4} (3 2 \cdot 5)

(\frac{1}{3} ln ∣ e^{x} + 1 ∣ - \frac{1}{3} ln ∣ e^{x} - 2 ∣) \cdot e^{2 x}

What is simplify-(ln(42))/(ln(7)-ln(6)) ?
The solution to simplify-(ln(42))/(ln(7)-ln(6)) is -(ln(42))/(ln(7/6))