Algebra
posted by sandy .
Please show me step by step on solving this problem? log₅(2x9)+ log₅(x+2)= 1
Thank you
I'm getting 2x²5x28=0 which is a empty set. Trying to make sure I'm correct if I am. Thanks so much for your help

log5 [(2x9)(x+2)] = 1
(2x9)(x+2) = 5^1 = 5
2 x^2 5 x 18 = 5
2 x^2  5 x  23 = 0
x = [ 5 +/ sqrt (25+184 ] /4
= [ 5 +/ 14.5 ] /4
= 19.5/4 or 9.46/4
= 4.86 or 2.36