we are given the following equation:
[tex]\log \mleft(14-x\mright)=0.5[/tex]To solve this equation we will use the following property of logarithms:
[tex]\log _ab=c\rightarrow b=a^c[/tex]Applying the property:
[tex]14-x=10^{0.5}[/tex]subtracting 14 to both sides:
[tex]\begin{gathered} 14-14-x=10^{0.5}-14 \\ -x=10^{0.5}-14 \end{gathered}[/tex]Multiplying by -1:
[tex]x=14-10^{0.5}[/tex]Solving the operations:
[tex]x=10.4[/tex]