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Solve. Round solution to the fourth decimal place

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2 Answers

log5(7x)+log5(x)=3 is the equation, this may be transformed to log5 (7) + log5 (x) +log5 (x) =3 =>
2 log5 (x) = 3 - log5 (7) = 3-(log10(7)/log10(5)) = 3-1.2091= 1.7909=2log5 (x) =>
log5(x) = 1.7909/2= 0.8955
log (x)/log 5 = 0.8955
log (x) = 0.8955*0.6989 = 0.6258
x = log‾1 0.6258 = 4.2247
CHECK!!!!!!!!!!!!!!!!!!!!!!!!!

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