Question

solve for x: 4^(3x+8)=12
please show steps

Answer 1

step one take the log
\[(3x+8)\ln(4)=\ln(12)\]
step two distribute
\[3\ln(4)x+8\ln(4)=\ln(12)\] subtract
\[3\ln(4)x=\ln(12)-8\ln(4)\] divide
\[x=\frac{\ln(12)-8\ln(4)}{3\ln(4)}\]

Answer 2

loved your work in "it takes a thief"!