# Solve: log6 36 = 5x+3

#### 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

##### Bubble-Pipe Squirrel
Gold Member
Check your work again. I think you'll laugh.

#### arildno

Homework Helper
Gold Member
Dearly Missed
Rusho said:
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

Homework Helper
Gold Member
Dearly Missed
$$6^{5*(-\frac{1}{5})+3}=6^{-1+3}=6^{2}=36$$

#### AKG

Homework Helper
Your problem was on the last lines:

5x = -1
x= 1/5

You forgot about the minus sign.

#### Curious3141

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

#### arildno

Homework Helper
Gold Member
Dearly Missed
Curious3141 said:
You should try being more negative. :rofl: :rofl:

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