you could do
4^1 * (4^2)^x = 10*11^x
4^(2x+1) = 10*11^x
now take the log of both sides
log(4^(2x+1)) = log10 + log11^x
(2x+1)log4 = 1 + xlog11
(2log4)x + log4 = 1 +xlog11
x(2log4 - log11) = 1-log4
x = (1-log4)/(2log4-log11)
x = 2.44544
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