I have a sneaking suspicion you might mean
10^(3x-8) = 2^(5-x)
???????????????
10^3x-8=2^5-x
4 answers
Yes
Been there, done that
http://www.jiskha.com/display.cgi?id=1452547715
http://www.jiskha.com/display.cgi?id=1452547715
log 10 [10^(3x-8) ] = 3x-8
log 10 [ 2^(5-x)] = (5-x)log 10[2]
so
3x - 8 = (5-x)(0.301)
log 10 [ 2^(5-x)] = (5-x)log 10[2]
so
3x - 8 = (5-x)(0.301)