Question

1/2log(x)-log(1000)=3

Answer 1

Hint: \(\log_{1000} = 2\)

Answer 2

\[ \color{Black}{\Rightarrow {1 \over 2} \log x - 2 = 3 }\]\[ \color{Black}{\Rightarrow {1 \over 2} \log x = 5 }\]\[ \color{Black}{\Rightarrow{\log x} = 10 }\]

Answer 3

Convert \(\log_{10}x = 10\) to exponential form and you are done.

Answer 4

1/2 log(x)=3-log(1000)
1/2 log(x)=0
x=0

Answer 5

Nope, \(x = 0\) doesn't satisfy.

Answer 6

but 3-log1000 = 0

Answer 7

What? \(\log 0 = \infty\)

Answer 8

As I said, try to see the steps right there.

Answer 9

To be pedantic, log 0 is undefined.