lazaroonie lazaroonie

29-12-2017
Mathematics

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Explain the process for solving this logarithmic equation.
log3 x + log3 4 – 2log3 3 = 2
show all steps please!!! Also, it's log with a base of 3!

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mathmate mathmate

29-12-2017

log3(x)+log3(4)-2log3(3)=2using properties of multiplication of logarithms,log3(x)+log3(4)-log3(3^2)=2log3(x)+log3(4)-log3(9)=2using properties of addition of logarithms,log3(x*4/9)=2raise both sides to exponent of base 33^log3(x*4/9)=3^24x/9=9x=81/4

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