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solve the logarithmic equation using properties of logs. Round to the nearest thousandth if necessary log 2x+logx=2

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apologiabiology
yee
(apologies in advance for foematring. I'm on mobile)

log rules

if no base is stared assume base 10

log_a(b)=c means a^c=b

log(a)+log(b)=log(ab)

if a^b=c^b and b=b then a=c

so
log(2x)+log(x)=2
log_10(2x^2)=2
10^2=2x^2
100=2x^
50=x^2
[tex]x = \pm 5\sqrt{2} [/tex]

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