Question 683635
Let {{{ log (b, 2) }}} equal A and {{{ log (b, 3) }}} equal C. Write the expression below in terms of A and C.

{{{ log ( b, sqrt (32/27) ) }}}

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{{{ log (b, sqrt(32/27) ) = log(b,sqrt(2^5)) - log(b,sqrt(3^3))}}}
= {{{(1/2)log(b,2^5) - (1/2)log(b,3^3))}}}
= {{{(5/2)log(b,2) - (3/2)log(b,3))}}}
= 5A/2 - 3C/2
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or (5A - 3C)/2