Solving Log6 36 = 5x+3: Can't get the Answer Right

[Rusho]

I got an answer, but I cannot get it to check correctly:

=6 ^5x+3 =36
=6 ^5x+3 = 6^2
=5x+3 =2
=5x = -3+2
=5x = -1
x= 1/5

But I put 1/5 into the equation and it does not work out correctly.

 

[dav2008]

Check your work again. I think you'll laugh.

 

[arildno]

I got an answer, but I cannot get it to check correctly:

this equality sign means??->=6 ^(5x+3) =36 Missing parentheses
(=)6 ^(5x+3) = 6^2
Totally incorrect use of equality sign! -> =5x+3 =2
Totally incorrect use of equality sign! ->=5x = -3+2
(=)5x = -1
x= 1/5
Where did the minus sign go?

 

[Rusho]

Without the equals

6 ^5x+3 =36
6 ^5x+3 = 6^2
5x+3 =2
5x = -3+2
5x = -1
5x/5 = -1/5
x= - 1/5

OH I see now I get "2" and 6^2 =36 :)

 

[arildno]

$$6^{5*(-\frac{1}{5})+3}=6^{-1+3}=6^{2}=36$$
your problem being?

 

[AKG]

Your problem was on the last lines:

5x = -1
x= 1/5

You forgot about the minus sign.

 

[Curious3141]

You should try being more negative. :rofl: :rofl:

 

[arildno]

You should try being more negative. :rofl: :rofl: