SOLUTION: Need Help Asap. Write each expression as a sum or difference of logarithms. Assume that Variables represent positive numbers. #43 log2 x^3/y, #44 log5 x/y^4
#45 logb √7x Sho
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Question 935732: Need Help Asap. Write each expression as a sum or difference of logarithms. Assume that Variables represent positive numbers. #43 log2 x^3/y, #44 log5 x/y^4
#45 logb √7x Show work if possible please.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
43.
log2(x^3/y) = log2(x^3) - log2(y) = 3*log2(x) - log2(y)
44.
log5 (x/y^4) = log5(x) - log5(y^4) = log5(x) - 4*log5(y)
45.
logb(sqrt(7x)) = logb((7x)^(1/2)) = 1/2 * logb(7x) = 1/2 * logb(7) + 1/2 * logb(x)
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