Find the exact solution to the equation. 10-log4(x+6) = 9Please Show steps. I dont know what to do when there is a log on just one side of the equation

Answer: Exact solution to the equation is 10-log4(x+6) = 9 is -2Explanation:As we have given the logarithm equation in the question that[tex]10-log4(x+6)=9[/tex]   ……….(1)Now by using the logarithm property, we know that  x+6>0So x>-6Now from equation 1[tex]log4(x+6)=1[/tex]As we know the anti log property as [tex]loga(x)=b[/tex] then it becomes [tex](x)=(a)^b[/tex]Now by using anti log Properties, the above equation would becomes  [tex]x+6=(4)^1[/tex][tex]x+6=(4)[/tex][tex]x=-6+(4)[/tex]So  x=-2Hence the possible value of x that satisfy the given logarithm equation is -2.