Answer: x = 6/7
Step-by-step explanation:
Use log10 to bring the exponent down
[tex]5+\log _{10}\left(7x+4\right)=6[/tex]
[tex]5+\log _{10}\left(7x+4\right)-5=6-5[/tex]
[tex]\log _{10}\left(7x+4\right)=1[/tex]
Apply log rule: If logₐ(b) = c, then b=a^c
[tex]7x+4=10^1\\\\7x+4=10\\\\7x=6[/tex]
x = 6/7
