What is join (13^{(3ln(2))/(ln(13))}+6)/9 ?

The solution to join (13^{(3ln(2))/(ln(13))}+6)/9 is (13^{(ln(8))/(ln(13))}+6)/9

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join (13^{(3ln(2))/(ln(13))}+6)/9

join

\frac{1 3 ^{\frac{3 l n ( 2 )}{l n ( 13 )}} + 6}{9}

\frac{1 3 ^{\frac{l n ( 8 )}{l n ( 13 )}} + 6}{9}

Decimal

1.55555 \dots

Solution steps

\frac{1 3 ^{\frac{3 l n ( 2 )}{l n ( 13 )}} + 6}{9}

Apply log rule:

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

3 ln (2) = ln (2^{3})

= \frac{1 3 ^{\frac{l n ( 2 ^{3} )}{l n ( 13 )}} + 6}{9}

2^{3} = 8

= \frac{1 3 ^{\frac{l n ( 8 )}{l n ( 13 )}} + 6}{9}

50 - \frac{20}{ln ( \frac{125}{123} )} \cdot ln (\frac{1968}{30})

ln (3 n^{2} - 1) + ln (\frac{1}{n ^{2}})

4.76 + lo g_{10} (\frac{0.3}{0.2})

15 ln (5) - 24 ln (4) + 9 ln (3) - 2 ln (2)

\frac{1}{10} ln (\frac{1}{3})

What is join (13^{(3ln(2))/(ln(13))}+6)/9 ?
The solution to join (13^{(3ln(2))/(ln(13))}+6)/9 is (13^{(ln(8))/(ln(13))}+6)/9