What is ln(22.08553-2)+3ln(8.905-1) ?

The solution to ln(22.08553-2)+3ln(8.905-1) is ln(9921.76459…)

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simplify ln(22.08553-2)+3ln(8.905-1)

simplify

ln (22.08553 - 2) + 3 ln (8.905 - 1)

ln (9921.76459 \dots)

Decimal Notation

9.20248 \dots

Solution steps

ln (22.08553 - 2) + 3 ln (8.905 - 1)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 ln (8.905 - 1) = ln ((8.905 - 1)^{3})

= ln (22.08553 - 2) + ln ((8.905 - 1)^{3})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (22.08553 - 2) + ln ((8.905 - 1)^{3}) = ln ((8.905 - 1)^{3} (22.08553 - 2))

= ln ((22.08553 - 2) (8.905 - 1)^{3})

(22.08553 - 2) (8.905 - 1)^{3} = 9921.76459 \dots

= ln (9921.76459 \dots)

ln (\frac{4 k + 1}{4 k - 1})

ln (90) - ln (80)

- ln (x) - \frac{1}{2} ln (y)

\frac{2 ln ( 3 ) + ln ( 2 )}{2 ln ( 2 ) - ln ( 3 )}

ln (\frac{1}{2 \cdot π \cdot x})

What is ln(22.08553-2)+3ln(8.905-1) ?
The solution to ln(22.08553-2)+3ln(8.905-1) is ln(9921.76459…)