Question
Solve for x log(base6)(x+3)−log(base6)(x−5)=2.
I tried to factor out the log(base6) and got (x+3)^x/(x-5)=2, but I don't know how to solve that...
I tried to factor out the log(base6) and got (x+3)^x/(x-5)=2, but I don't know how to solve that...
Answers
Ann
sorry it's log(base6)(x+3)−log(base6)(x−5)=2
the x in front of log isn't part of it
the x in front of log isn't part of it
Reiny
Oh no, <sub>6</sub> is not a number, it is an operator.
You can't factor out <sub>6</sub>
(that would be doing something like
√8 - √3
= (√)(8-3) )
You have to use your rules of logs.
<sub>6</sub>(x+3) - <sub>6</sub>(x-5) = 2
<sub>6</sub> ( (x+3)/(x-5) ) = 2
which by definition is
(x+3)/(x-5) = 6^2 = 36
36x - 180 = x+3
35x = 183
x = 183/35
You can't factor out <sub>6</sub>
(that would be doing something like
√8 - √3
= (√)(8-3) )
You have to use your rules of logs.
<sub>6</sub>(x+3) - <sub>6</sub>(x-5) = 2
<sub>6</sub> ( (x+3)/(x-5) ) = 2
which by definition is
(x+3)/(x-5) = 6^2 = 36
36x - 180 = x+3
35x = 183
x = 183/35
Reiny
Oh no, log<sub>6</sub> is not a number, it is an operator.
You can't factor out log<sub>6</sub>
(that would be doing something like
√8 - √3
= (√)(8-3) )
You have to use your rules of logs.
log<sub>6</sub>(x+3) - log<sub>6</sub>(x-5) = 2
log<sub>6</sub> ( (x+3)/(x-5) ) = 2
which by definition is
(x+3)/(x-5) = 6^2 = 36
36x - 180 = x+3
35x = 183
x = 183/35
You can't factor out log<sub>6</sub>
(that would be doing something like
√8 - √3
= (√)(8-3) )
You have to use your rules of logs.
log<sub>6</sub>(x+3) - log<sub>6</sub>(x-5) = 2
log<sub>6</sub> ( (x+3)/(x-5) ) = 2
which by definition is
(x+3)/(x-5) = 6^2 = 36
36x - 180 = x+3
35x = 183
x = 183/35
Ann
thank you for your explanation :)