Question 545106
solve log(16) - log(2x) = 4
subtraction means divide, so write
{{{log((16/(2x)))}}} = 4
Simplify,cancel 2
{{{log((8/x))}}} = 4
write the exponent equiv of logs
{{{10^4}}} = {{{8/x}}}
10000x = 8
x = {{{8/10000}}}
x = .0008
:
:
Check this on your calc: enter log(16) - log(2*.0008), results: 4