Question

$x- x*lg5= lg(2^x+x-3)$

Answer 1

$10^{x-x*lg5}=2^x+x-3 \\ 10^x*10^{lg5^{-x}}=2^x+x-3 \\ 10^x*5^{-x}=2^x+x-3 \\ 2^x*5^x*5^{-x}=2^x+x-3 \\ 2^x=2^x+x-3 \\ x-3=0 \\ x=3$