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anonymous
 5 years ago
log 10 x=2 then x=? PLEASE HELP!
anonymous
 5 years ago
log 10 x=2 then x=? PLEASE HELP!

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Do you mean \[log(10x) = 2?\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Or do you mean \[log_{10}(x) = 2\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Recall that\[log_b(a) = k \iff b^k = a\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What is b, what is a, what is k in your example?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Look 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.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So what is your b, a, and k?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0All the question says is log 10 (x)=2 then some of the answers are 100 and 20 they don't give any more information

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Look 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?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0b is 10 and k is 2 there is no a it just says x :P

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So 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.
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