# Thread: Fixing log errors.

1. ## Fixing log errors.

Trying to fix the log questions I got wrong. I've already fixed some, but I can't grasp these two in any way.

1) "log(15)1"

I did:

log(15)1 = x
15^x = 1
x = 1 ------> I corrected this with 15^0 = 1 ---> x = 0. But I can't grasp/remember the rule of anything to the zero becomes one. Does zero replace x?

2) "10^3x = 55"

I did:

10^3x = 55^1
3x = 55
x = 18.333 ---> I attempted to correct this and came up with x = log(10)55/3. I still resulted with x = 18.333 and I don't understand why this was still marked wrong.

2. Originally Posted by Mulya66
Trying to fix the log questions I got wrong. I've already fixed some, but I can't grasp these two in any way.

1) "log(15)1"

I did:

log(15)1 = x
15^x = 1
x = 1 ------> I corrected this with 15^0 = 1 ---> x = 0. But I can't grasp/remember the rule of anything to the zero becomes one. Does zero replace x?
log15(1) = x
1 = 15^x

Since we can say that 15^0 = 1, we can rewrite the problem as:
15^0 = 15^x

(Note that 15^0 replaced 1 in the problem 1 = 15^x, becoming 15^0 = 15^x.)

Therefore, x = 0.

2) "10^3x = 55"

I did:

10^3x = 55^1
3x = 55
x = 18.333 ---> I attempted to correct this and came up with x = log(10)55/3. I still resulted with x = 18.333 and I don't understand why this was still marked wrong.