What is 2^{(ln(3))/(ln(2)-ln(3))} ?

The solution to 2^{(ln(3))/(ln(2)-ln(3))} is 2^{(ln(3))/(ln(2/3))}

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simplify 2^{(ln(3))/(ln(2)-ln(3))}

simplify

2^{\frac{l n ( 3 )}{l n ( 2 ) - l n ( 3 )}}

2^{\frac{l n ( 3 )}{l n ( \frac{2}{3} )}}

Decimal

0.15288 \dots

Solution steps

2^{\frac{l n ( 3 )}{l n ( 2 ) - l n ( 3 )}}

Apply log rule:

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

ln (2) - ln (3) = ln (\frac{2}{3})

= 2^{\frac{l n ( 3 )}{l n ( \frac{2}{3} )}}

6 lo g_{3} (5 x + 2) + 5 lo g_{3} (3 x + 6)

e^{(x - 2 y)} - ln (2 x^{(2)} y)

lo g_{a} (\frac{( 5 ^{2} y )}{- 1 ^{3}})

ln (\frac{1}{0.975})

ln (\frac{0.23113}{4.98 \cdot 1 0 ^{- 3}})

What is 2^{(ln(3))/(ln(2)-ln(3))} ?
The solution to 2^{(ln(3))/(ln(2)-ln(3))} is 2^{(ln(3))/(ln(2/3))}