What is ln((0.2-0.05)/(0.07-0.05)) ?

The solution to ln((0.2-0.05)/(0.07-0.05)) is ln(0.15)-ln(0.02)

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simplify ln((0.2-0.05)/(0.07-0.05))

simplify

ln (\frac{0.2 - 0.05}{0.07 - 0.05})

ln (0.15) - ln (0.02)

Decimal Notation

2.01490 \dots

Solution steps

ln (\frac{0.2 - 0.05}{0.07 - 0.05})

Apply log rule:

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

ln (\frac{0.2 - 0.05}{0.07 - 0.05}) = ln (0.2 - 0.05) - ln (0.07 - 0.05)

= ln (0.2 - 0.05) - ln (0.07 - 0.05)

Subtract the numbers:

0.2 - 0.05 = 0.15

= ln (0.15) - ln (0.07 - 0.05)

Subtract the numbers:

0.07 - 0.05 = 0.02

= ln (0.15) - ln (0.02)

3 \cdot lo g_{33} (3)

ln (4 e^{- i \frac{π}{2}}) - ln (4 e^{- \frac{π}{2} i})

ln (100) - ln (105)

- 2 ln (4) + 2 ln (3)

\frac{1}{4} ln (\frac{49}{76})

What is ln((0.2-0.05)/(0.07-0.05)) ?
The solution to ln((0.2-0.05)/(0.07-0.05)) is ln(0.15)-ln(0.02)