How do you solve #-8.7e^(6.6-6x)-7=-32.8#?

1 Answer
Aug 4, 2016

Answer:

#x=0.9188#

Explanation:

Let us rewrite the given eqn., by removing all #-ve# signs, as

# 8.7e^(6.6-6x)+7=32.8#

# rArr 8.7e^(6.6-6x)=25.8#

# rArr e^(6.6-6x)=25.8/8.7#

# rArr log_10{e^(6.6-6x)}=log_10 25.8-log_10 8.7#

# rArr (6.6-6x)log_10e=1.4116-0.9395=0.4721#

# rArr (6.6-6x)(0.4343)=0.4721#

# rArr (6.6-6x)=0.4721/0.4343=1.087#

# rArr (6.6-1.087)/6=x=0.9188#.