What is ln(7e+14)-ln(7)-ln(e+2) ?

The solution to ln(7e+14)-ln(7)-ln(e+2) is ln((7e+14)/(7(e+2)))

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simplify ln(7e+14)-ln(7)-ln(e+2)

simplify

ln (7 e + 14) - ln (7) - ln (e + 2)

ln (\frac{7 e + 14}{7 ( e + 2 )})

Decimal Notation

0

Solution steps

ln (7 e + 14) - ln (7) - ln (e + 2)

Apply log rule:

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

ln (7 e + 14) - ln (7) = ln (\frac{7 e + 14}{7})

= ln (\frac{7 e + 14}{7}) - ln (e + 2)

Apply log rule:

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

ln (\frac{7 e + 14}{7}) - ln (e + 2) = ln (\frac{\frac{7 e + 14}{7}}{e + 2})

= ln (\frac{\frac{7 e + 14}{7}}{e + 2})

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= ln (\frac{7 e + 14}{7 ( e + 2 )})

0.5 ln (16 x^{2})

16.7 + 10 lo g_{10} (\frac{750}{100})

20 ln (\frac{1400}{1400 + ( 10 ( 10 ) )}) + (9.8 \cdot 10)

- ln (\frac{3}{5})

What is ln(7e+14)-ln(7)-ln(e+2) ?
The solution to ln(7e+14)-ln(7)-ln(e+2) is ln((7e+14)/(7(e+2)))