<PRE><B>Question 1058224</B>
Log3(x+18)-log3(x-2)=4
Log3((x+18)/(x-2))=4
Since 4 = log3(3^4) = log3(81)
Log3((x+18)/(x-2))=log3(81)
{{{(x+18)/(x-2)=81}}}
{{{(x+18)/(x-2)=81/1}}}
using cross products
x+18 = 81(x-2)
x+18 = 81x -162
add -x to each side
18 = 80x -162
add 162 to each side
180 = 80x
divide each side by 80
180/80 = x
18/8 = x
9/4 = x
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