Math
posted by Blue on .
log4x^4 + log4^2 = 3
Solve the logarithmic equation.

log4x^4 = log4 + 4logx
log4^2 = 2log4
log4 + 4logx + 2log4 = 3
3log4 + 4logx = 3
4logx = 3(1log4)
Now, if we're dealing with base 10, 1 = log10, so 1log4 = log(10/4) = log(5/2)
4 logx = 3log(5/2)
logx = 3/4 log(5/2)
x = 10^(3/4) * l0^(log 5/2)
x = 10^3/4 * 5/2
x = 5/2 10^(3/4)
x = 5/2 ∜1000