SOLUTION: Given log3(8)=x and log4(7)=y express log27(14) in terms of x and y

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Question 1061117: Given log3(8)=x and log4(7)=y express log27(14) in terms of x and y
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Given log3(8)=x and log4(7)=y express log27(14) in terms of x and y
log+%283%2C+8%29+=+x ======>  ======> matrix%281%2C3%2C+log+%28%283%29%29%2C+%22=%22%2C+3+%2A+log+%28%282%29%29+-+x%29 

log+%284%2C+7%29+=+y ======>  =======> matrix%281%2C3%2C+log+%28%287%29%29%2C+%22=%22%2C+y+%2B+2+%2A+log+%28%282%29%29%29





log+%2827%2C+%2814%29%29 =======> log+%28%2814%29%29%2Flog+%28%2827%29%29 ======> log+%28%2814%29%29+-+log+%28%2827%29%29 =======> log+%28%282+%2A+7%29%29+-+log+%28%283%5E3%29%29 =======> log+%28%282%29%29+%2B+log+%28%287%29%29+-+3+%2A+log+%28%283%29%29

 ----- Substituting y + 2 * log (2) for log (7), and 3 * log (2) - x for log (3)