Question 434450
{{{ln (y+2) = ln (y-7) + ln 4}}}.............use the rule {{{ln (u) + ln (v)=ln(uv)}}}

{{{ln (y+2)  = ln (4(y-7))}}}

{{{y+2  = 4(y-7)}}}

{{{y+2  = 4y-28}}}

{{{28+2  = 4y-y}}}

{{{30 = 3y}}}

{{{y=10}}}

check:

{{{ln (10+2) = ln (10-7) + ln 4}}}..........

{{{ln (12) = ln (3) + ln 4}}}.........

{{{2.485= 1.099 + 1.386}}}.........

{{{2.485= 2.485}}}.........