What is ln(x-155)-ln(77-155) ?

The solution to ln(x-155)-ln(77-155) is ln(-(x-155)/(78))

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simplify ln(x-155)-ln(77-155)

simplify

ln (x - 155) - ln (77 - 155)

ln (- \frac{x - 155}{78})

Solution steps

ln (x - 155) - ln (77 - 155)

Apply log rule:

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

ln (x - 155) - ln (77 - 155) = ln (\frac{x - 155}{77 - 155})

= ln (\frac{x - 155}{77 - 155})

Simplify

\frac{x - 155}{77 - 155} : - \frac{x - 155}{78}

= ln (- \frac{x - 155}{78})

2 lo g_{10} (a) + 3 lo g_{10} (b) - 5 lo g_{10} (c)

ln (60 e^{- 8.064})

ln (\frac{7.28 \cdot 1 0 ^{- 4}}{1.93 \cdot 1 0 ^{- 7}})

2 lo g_{10} (a) + 3 lo g_{10} (b) - lo g_{10} (c)

\frac{1}{3} lo g_{10} (27) - \frac{1}{2} lo g_{10} (49)

What is ln(x-155)-ln(77-155) ?
The solution to ln(x-155)-ln(77-155) is ln(-(x-155)/(78))