What is join 3^{(ln(4/(ln(3))))/(ln(3))}ln(3) ?

The solution to join 3^{(ln(4/(ln(3))))/(ln(3))}ln(3) is ln(3^{3^{(ln(4/(ln(3))))/(ln(3))}})

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join 3^{(ln(4/(ln(3))))/(ln(3))}ln(3)

join

3^{\frac{l n ( \frac{4}{l n ( 3 )} )}{l n ( 3 )}} ln (3)

ln 3^{3^{\frac{l n ( \frac{4}{l n ( 3 )} )}{l n ( 3 )}}}

Decimal Notation

4

Solution steps

3^{\frac{l n ( \frac{4}{l n ( 3 )} )}{l n ( 3 )}} ln (3)

Apply log rule:

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

3^{\frac{l n ( \frac{4}{l n ( 3 )} )}{l n ( 3 )}} ln (3) = ln 3^{3^{\frac{l n ( \frac{4}{l n ( 3 )} )}{l n ( 3 )}}}

= ln 3^{3^{\frac{l n ( \frac{4}{l n ( 3 )} )}{l n ( 3 )}}}

lo g_{8} (7 x)

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

ln (2.5 \cdot 1 0^{- 3}) + (\frac{130000}{8.314 \cdot 473})

ln (\frac{1}{2} x + 4 + x^{2})

lo g_{4} (x + 3) + lo g_{4} (x - 3)

What is join 3^{(ln(4/(ln(3))))/(ln(3))}ln(3) ?
The solution to join 3^{(ln(4/(ln(3))))/(ln(3))}ln(3) is ln(3^{3^{(ln(4/(ln(3))))/(ln(3))}})