Question

Solve log x = 3. (2 points)

Answer 1

`\boxed{x=1000}`

Explanation:

`log (x)= 3`

`log_(10) (x)= 3`

Use logarithmetic definition:

`log_a(b)=c`

`b=a^c`

`a=10\\b=x\\c=3`

Plug in the values.

`x=10^3`

`x=1000`

Answer 2

x=1000

Explanation:

log x = 3

log10 ( x) = 3

Raise each side to the power of 10

10^( log10 ( x)) =10 ^3

x = 10 ^3

x = 1000