Solve for the value of x upto correct decimal approximation log(x+6)=log(3x-2)+2 Solving this equation will determine the x-cordinate of the point of intersection of the function y=logx(x+6) and y=log(3x-2)+2)

Joni Kenny

Joni Kenny

Answered question

2021-02-06

Solve for the value of x upto correct decimal approximation log(x+6)=log(3x2)+2
Solving this equation will determine the x-cordinate of the point of intersection of the function y=logx(x+6)andy=log(3x2)+2)

Answer & Explanation

2abehn

2abehn

Skilled2021-02-07Added 88 answers

log(x+6)=log(3x2)+2
log(x+6)log(3x2)=2
using
logalogb=log(ab)
log(x+63x2)=2
Using,
If loga=b
then a=10b
x=63x2=102
x+6=(3x-2)*100
x+6=300x-200
300x-x=200+6
299x=206
x=206299
x=0.6889

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