value of log 2√3 1728 is
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It might have been easier if you tried manipulating the right hand side instead.
(23–√)y=1728
(23)y=1728
(23–√)y=26×33
(23)y=26×33
(23–√)y=26×3–√6=(23–√)6
(23)y=26×36=(23)6
Alternatively, you could have changed the base of the logarithm.
log23√1728=log1728log23–√=6log2+3log3log2+12log3=6(log2+12log3)log2+12log3
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