Question 1005920
Suppose that logb(2)=A and logb3=B Express each of the following in terms of A and B
1a) {{{log(b,4) + log(b,9)}}}
= {{{log(b,2^2) + log(b,3^2)}}}
= {{{2log(b,2) + 2log(b,3)}}}
= 2A + 2B
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b) logb24
= {{{log(b,2*2*2*3) = log(b,2) + log(b,2) + log(b,2) + log(b,3)}}}
= A + A + A + B
= 3A + B
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c) log8(9)
{{{log(8,9) = log(b,9)/log(b,8) = log(b,3^2)/log(b,2^3)}}}
= {{{2log(b,3)/(3log(b,2))}}}
= 2B/3A