What is (ln(807)-ln(40.2))/(2-1) ?

The solution to (ln(807)-ln(40.2))/(2-1) is ln(20.07462…)

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simplify (ln(807)-ln(40.2))/(2-1)

simplify

\frac{ln ( 807 ) - ln ( 40.2 )}{2 - 1}

ln (20.07462 \dots)

Decimal Notation

2.99945 \dots

Solution steps

\frac{ln ( 807 ) - ln ( 40.2 )}{2 - 1}

Apply log rule:

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

ln (807) - ln (40.2) = ln (\frac{807}{40.2})

= \frac{ln ( \frac{807}{40.2} )}{2 - 1}

Divide the numbers:

\frac{807}{40.2} = 20.07462 \dots

= \frac{ln ( 20.07462 \dots )}{2 - 1}

Subtract the numbers:

2 - 1 = 1

= \frac{ln ( 20.07462 \dots )}{1}

Apply rule

\frac{a}{1} = a

= ln (20.07462 \dots)

ln (\frac{x + 2}{x})

ln (\frac{0.19556}{0.1924})

\frac{ln ( 40 ) - ln ( 7 )}{3 ln ( 7 )}

ln (- 7) - ln (4)

ln (\frac{99.985}{100})

What is (ln(807)-ln(40.2))/(2-1) ?
The solution to (ln(807)-ln(40.2))/(2-1) is ln(20.07462…)