What is ln(0.9-0.5)-ln(x) ?

The solution to ln(0.9-0.5)-ln(x) is ln((0.4)/x)

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simplify ln(0.9-0.5)-ln(x)

simplify

ln (0.9 - 0.5) - ln (x)

ln (\frac{0.4}{x})

Solution steps

ln (0.9 - 0.5) - ln (x)

Apply log rule:

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

ln (0.9 - 0.5) - ln (x) = ln (\frac{0.9 - 0.5}{x})

= ln (\frac{0.9 - 0.5}{x})

Subtract the numbers:

0.9 - 0.5 = 0.4

= ln (\frac{0.4}{x})

ln (2) - ln (101)

lo g_{e} (\frac{8}{10})

7 lo g_{7} (x) - \frac{1}{3} lo g_{7} (w)

ln (\frac{\frac{a}{c}}{\frac{b}{d}}) + ln (\frac{c}{d})

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