Question

Find all real solutions of the following equation
log 3 x +log 3 (x-24) =4

Answer 1

\[\log_{3}x+\log_{3}(x-24)=4 \]

Answer 2

my answer is no real solutions

Answer 3

\[\log_3(x^2-24x)=4\]
\[x^2-24x=3^4=81\]
\[(x+12)^2+81+144=225\]
\[x+12=\pm\sqrt{225}\]
\[x+12=15\]
\[x=3\]

Answer 4

i came up iwth -27,3 and so neither of these would suit the equation right?

Answer 5

yes that is right. you cannot use 3 or -27

Answer 6

k thanx