What is join 1/(2ln(2))+1/(3ln(3)) ?

The solution to join 1/(2ln(2))+1/(3ln(3)) is 1/(ln(4))+1/(ln(27))

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join 1/(2ln(2))+1/(3ln(3))

join

\frac{1}{2 ln ( 2 )} + \frac{1}{3 ln ( 3 )}

\frac{1}{ln ( 4 )} + \frac{1}{ln ( 27 )}

Decimal Notation

1.02476 \dots

Solution steps

\frac{1}{2 ln ( 2 )} + \frac{1}{3 ln ( 3 )}

Apply log rule:

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

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

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

Apply log rule:

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

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

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

2^{2} = 4

= \frac{1}{ln ( 4 )} + \frac{1}{ln ( 3 ^{3} )}

3^{3} = 27

= \frac{1}{ln ( 4 )} + \frac{1}{ln ( 27 )}

ln (\frac{1}{( x - 1 ) ^{\frac{9}{2}}})

ln (48) - ln (3)

10 \cdot lo g_{10} (\frac{( 5 \cdot 1 0 ^{- 3} )}{1})

\frac{3}{8} \cdot ln (\frac{8}{3}) + \frac{10}{16} \cdot ln (\frac{16}{5})

What is join 1/(2ln(2))+1/(3ln(3)) ?
The solution to join 1/(2ln(2))+1/(3ln(3)) is 1/(ln(4))+1/(ln(27))