MHB Solve 2^3x+1=32: Find X Using Logs

[blackfriars]

hi could anyone show me the steps for solving this equation
i thought it was to be solved by logs
find X if 2^3x+1=32

 

[MarkFL]

hi could anyone show me the steps for solving this equation
i thought it was to be solved by logs
find X if 2^3x+1=32

Is the equation:

$$2^{3x}+1=32$$

Or:

$$2^{3x+1}=32$$

I suspect it is the latter, but I want to be sure first. :)

 

[blackfriars]

the answer i got for X was 5 just by using algebra
yes it is the latter equation
thanks

 

[Greg]

$$2^{3x+1}=32=2^5$$

$$3x+1=5\implies x=\frac43$$

 

[blackfriars]

Could you show steps for solving for x
Thanks

- - - Updated - - -

Yeah i got it now cheers mate

 

[Greg]

$$3x+1=5$$

Subtract $1$ from both sides:

$$3x+1-1=5-1$$

$$3x=4$$

Divide both sides by $3$:

$$x=\frac43$$