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3*4^x=24 (+24)
4^x = 8 (/3)
4^x= 4^1.5
x=1.5

4*x = 8
2*(2x) =2*(3)
2x=3
x=3/2

\[3*4^x-24=0\]
\[3*4^x=24\]
\[4^x=8\]
\[4^x=4^(3/2)\]
\[x=3/2\]