Question

log 10 x=2 then x=? PLEASE HELP!

Answer 1

Do you mean \[log(10x) = 2?\]

Answer 2

Or do you mean
\[log_{10}(x) = 2\]

Answer 3

The second one

Answer 4

Recall that\[log_b(a) = k \iff b^k = a\]

Answer 5

...?

Answer 6

What is b, what is a, what is k in your example?

Answer 7

It doesn't say

Answer 8

Just look at it.

Answer 9

Look at what I wrote on the left side. That is just like what you have except instead of b, a, and k you have other values.

Answer 10

So what is your b, a, and k?

Answer 11

All the question says is log 10 (x)=2 then some of the answers are 100 and -20 they don't give any more information

Answer 12

Look at what you wrote:
\[log_{10}(x) = 2\]
Look at what I wrote:
\[log_b(a) = k\]

Now, in your example what is b, what is a, and what is k?

Answer 13

b is 10 and k is 2 there is no a it just says x :P

Answer 14

a is x.

Answer 15

So now, by the definition of the log function:

\[log_b(a) = k \iff b^k = a\]

What that means is that both sides of those arrows mean the same thing, you have the left side, but it means the same thing as the right side. So you can rewrite the right side using your a, b, and k and I think you'll have a nice solution to your problem.