What is the solution for log equations with a base of 4 and a difference of 3?

[nae99]

Not quite, 3*1023=3069

starting over, this is how i work it

log4 x/x-3 = 5

x/x-3 = 4^5

x = 1024 (x-3)

x = 1024x - 3072

x - 1024x = -3072

1023x = -3072

1023x/1023 = -3072/1023

x = -3.003

 

[HallsofIvy]

Yes, that is correct- only one step left.

You have 1023x= 3072 and you want x= something. How do you get rid of the "1023" that is multiplying the x?

 

[nae99]

Yes, that is correct- only one step left.

You have 1023x= 3072 and you want x= something. How do you get rid of the "1023" that is multiplying the x?

divide it by 1023

 

[BloodyFrozen]

Now solve for x.

 

[nae99]

Now solve for x.

x=3.003