What is ln((e^8-1)/(e^2-1))-3 ?

The solution to ln((e^8-1)/(e^2-1))-3 is ln(e^8-1)-ln(e^2-1)-3

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simplify ln((e^8-1)/(e^2-1))-3

simplify

ln (\frac{e ^{8} - 1}{e ^{2} - 1}) - 3

ln (e^{8} - 1) - ln (e^{2} - 1) - 3

Decimal Notation

3.14507 \dots

Solution steps

ln (\frac{e ^{8} - 1}{e ^{2} - 1}) - 3

Apply log rule:

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

ln (\frac{e ^{8} - 1}{e ^{2} - 1}) = ln (e^{8} - 1) - ln (e^{2} - 1)

= ln (e^{8} - 1) - ln (e^{2} - 1) - 3

4 ln (2 x)

ln (a e^{a (- 5)} (- 5))

x \to \infty lim (ln (\frac{1}{x}))

ln (y^{s i n (x)} \cdot y)

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

What is ln((e^8-1)/(e^2-1))-3 ?
The solution to ln((e^8-1)/(e^2-1))-3 is ln(e^8-1)-ln(e^2-1)-3