# Solve for k log of 1/0.8=(k*10)/2.3

log(10.8)=k⋅102.3
Rewrite the equation as k⋅102.3=log(10.8).
k⋅102.3=log(10.8)
Multiply both sides of the equation by 2.310.
2.310⋅k⋅102.3=2.310⋅log(10.8)
Simplify both sides of the equation.
Simplify the left side.
Cancel the common factor of 2.3.
Cancel the common factor.
2.310⋅k⋅102.3=2.310⋅log(10.8)
Rewrite the expression.
110⋅(k⋅10)=2.310⋅log(10.8)
110⋅(k⋅10)=2.310⋅log(10.8)
Cancel the common factor of 10.
Factor 10 out of k⋅10.
110⋅(10⋅k)=2.310⋅log(10.8)
Cancel the common factor.
110⋅(10⋅k)=2.310⋅log(10.8)
Rewrite the expression.
k=2.310⋅log(10.8)
k=2.310⋅log(10.8)
k=2.310⋅log(10.8)
Simplify 2.310⋅log(10.8).
Divide 2.3 by 10.
k=0.23⋅log(10.8)
Divide 1 by 0.8.
k=0.23⋅log(1.25)
Log base 10 of 1.25 is approximately 0.09691001.
k=0.23⋅0.09691001
Multiply 0.23 by 0.09691001.
k=0.0222893
k=0.0222893
k=0.0222893
Solve for k log of 1/0.8=(k*10)/2.3

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