Calculus
posted by George on .
Solve for x using logs.
4 * 16^x = 10 * 11^x
Do you start by multiply 4 times 16 then 10 times 11, and then what? Or am I completely wrong?

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) = 1log4
x = (1log4)/(2log4log11)
x = 2.44544