What is join (48)/(343ln(7))+1/e-1/(e^3) ?

The solution to join (48)/(343ln(7))+1/e-1/(e^3) is (48)/(ln(7^{343))}+1/e-1/(e^3)

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join (48)/(343ln(7))+1/e-1/(e^3)

join

\frac{48}{343 ln ( 7 )} + \frac{1}{e} - \frac{1}{e ^{3}}

\frac{48}{ln ( 7 ^{343} )} + \frac{1}{e} - \frac{1}{e ^{3}}

Decimal Notation

0.39000 \dots

Solution steps

\frac{48}{343 ln ( 7 )} + \frac{1}{e} - \frac{1}{e ^{3}}

Apply log rule:

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

343 ln (7) = ln (7^{343})

= \frac{48}{ln ( 7 ^{343} )} + \frac{1}{e} - \frac{1}{e ^{3}}

4 lo g_{10} (a) - 2 lo g_{10} (b)

ln (20.5) - ln (20)

\frac{1}{4800} ln (\frac{100}{85})

\frac{7 e ^{2 \cdot (l n (10) - l n (7))}}{2}

4 ln (- 1) + ln (4) + 14 ln (2)

What is join (48)/(343ln(7))+1/e-1/(e^3) ?
The solution to join (48)/(343ln(7))+1/e-1/(e^3) is (48)/(ln(7^{343))}+1/e-1/(e^3)