Question

Solve 5 log x = -15? I'm really stuck. :/

Answer 1

Not sure if this is right... try doing it on mathway.com

Answer 2

hint: divide both sides by 5 first. what does that give you?

Answer 3

Would it be -3? :/

Answer 4

yes. \[\log x = -3\]
now change this into exponential form. do you know how?

Answer 5

No, that's where I'm really getting stumped. :/ Thanks for helping me. This is great.

Answer 6

here's an example..when you have \[\log 2 = x\]
this becomes
\[10^x = 2\]
because if the base of the log is not given, it's automatically 10. do you get what to do now?

Answer 7

Umm.. so would I multiply -3 by 10 then? Or am I getting that wrong?

Answer 8

no.. you raise 10 to -3

\[\LARGE 10^{-3} = x\]

Answer 9

so what is the value of 10^-3?

Answer 10

Would it be 1000? :)

Answer 11

hmm close but no.. 1000 is 10^3
\[\Large 10^{-3} \implies \frac{1}{10^3}\]
would you like to try again?

Answer 12

Oh okay. So then would it be .001?

Answer 13

right

Answer 14

or simply 1/1000

Answer 15

whatever floats the boat

Answer 16

Great!!! Thank you so much. I really appreciate your help.

Answer 17

welcome