SOLUTION: simplify in terms of a single logarithm with base 4 {{{ log to the base 2 of (x)- log to the base 2 of (2/y)+ log to the base 8 of (sqrt( y ))- log to the base 16 of (z^2) }}}
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Question 605186: simplify in terms of a single logarithm with base 4
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
simplify in terms of a single logarithm with base 4. log to the base 2 of (x)- log to the base 2 of (2/y)+ log to the base 8 of (sqrt( y ))- log to the base 16 of (z^2)
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log4(x)/log4(2)-log4(2/y)/log4(2)+log4√y/log4(8)-log4(z^2)/log4(16)
..
log4(2)=1/2
log4(8)=3/2
log4(16)=4
..
log4(x)/(1/2)-log4(2/y)/(1/2)+log4√y/(3/2)-log4(z^2)/4
2log4(x)-2log4(2/y)+(2/3)log4√y-4log4(z^2)
rearrange terms
2log4(x)+(2/3)log4√y-(2log4(2/y)+4log4(z^2))
place under single log
log4[x^2*y^(1/3)/(2/y)^2*z^8]
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