Question

log3 (x+5) = log3 (2x+13)

Answer 1

Subtract the right hand side from the left and you have\[\log_{3}(x+5) - \log_{3}(2x+13) = 0 \]

Answer 2

This simplifies to \[\log_{3}\frac{ x+5 }{ 2x+13 } = 0\]

Answer 3

i got 5

Answer 4

This means that \[\frac{ x+5 }{ 2x+13 } = 3^0 = 1\]

Answer 5

since the base is the same ..
Then cancel the log and solve for x
x+2=2x+13
Solve for x now

Answer 6

Now you can solve. You should get x=-8.

Answer 7

@OakTree No need for that ...

Answer 8

@Eyad That's true, but it helps to demonstrate the reasoning instead of just stating that something is true.

Answer 9

oh wait, -8 is right, sryy

Answer 10

ok just set those equations equal to each other as x+5=2x+13 and then pull the terms with x to one side and the numbers to the other side so.. x= -8 right.. and thats it :)