What is join 6^{(7log_{6}(2))/2}+1 ?

The solution to join 6^{(7log_{6}(2))/2}+1 is 6^{(log_{6}(128))/2}+1

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join 6^{(7log_{6}(2))/2}+1

join

6^{\frac{7 l o g _{6} ( 2 )}{2}} + 1

6^{\frac{l o g _{6} ( 128 )}{2}} + 1

Decimal Notation

12.31370 \dots

Solution steps

6^{\frac{7 l o g _{6} ( 2 )}{2}} + 1

Apply log rule:

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

7 lo g_{6} (2) = lo g_{6} (2^{7})

= 6^{\frac{l o g _{6} ( 2 ^{7} )}{2}} + 1

2^{7} = 128

= 6^{\frac{l o g _{6} ( 128 )}{2}} + 1

lo g_{10} ((\frac{7}{8})^{x})

ln (\frac{2}{sin ( θ )}) - ln (\frac{1}{sin ( θ )})

2 ln (2) - 2 ln (7)

ln (2 x^{2}) + 2 ln (x)

\frac{15 ln ( \frac{59}{38} )}{ln ( 2 )}

What is join 6^{(7log_{6}(2))/2}+1 ?
The solution to join 6^{(7log_{6}(2))/2}+1 is 6^{(log_{6}(128))/2}+1