What is join (13^{(2ln(2))/(ln(13))}+10)/6 ?

The solution to join (13^{(2ln(2))/(ln(13))}+10)/6 is (13^{(ln(4))/(ln(13))}+10)/6

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join (13^{(2ln(2))/(ln(13))}+10)/6

join

\frac{1 3 ^{\frac{2 l n ( 2 )}{l n ( 13 )}} + 10}{6}

\frac{1 3 ^{\frac{l n ( 4 )}{l n ( 13 )}} + 10}{6}

Decimal Notation

2.33333 \dots

Solution steps

\frac{1 3 ^{\frac{2 l n ( 2 )}{l n ( 13 )}} + 10}{6}

Apply log rule:

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

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

= \frac{1 3 ^{\frac{l n ( 2 ^{2} )}{l n ( 13 )}} + 10}{6}

2^{2} = 4

= \frac{1 3 ^{\frac{l n ( 4 )}{l n ( 13 )}} + 10}{6}

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

\frac{3}{2} ln (\frac{x - 1}{x + 2}) - 5

lo g_{10} (\frac{11 r ^{3}}{w})

2 lo g_{e} (9) + 2 lo g_{e} (π) - lo g_{e} (8)

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

What is join (13^{(2ln(2))/(ln(13))}+10)/6 ?
The solution to join (13^{(2ln(2))/(ln(13))}+10)/6 is (13^{(ln(4))/(ln(13))}+10)/6