SOLUTION: log3(2x+3)=4-log3(x+0)solve for x log 3 = log subscript 3...I can't write it in the correct way sorry.

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Question 763142: log3(2x+3)=4-log3(x+0)solve for x
log 3 = log subscript 3...I can't write it in the correct way sorry.

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
log3(2x+3)=4-log3(x+0)solve for x


convert to exponential form
3^4=(2x+3)(x+0)
81=2x^2+3x
2x^2+3x-81=0
solve for x by quadratic formula:

a=2, b=3, c=-81
ans:
x≈-7.158 (reject, x>0)
or
x≈5.658

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