# SOLUTION: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. log9x = -3 I'm not even sure which equation to use with this. O

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. log9x = -3 I'm not even sure which equation to use with this. O      Log On

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 Question 212862: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. log9x = -3 I'm not even sure which equation to use with this. Or how I need to put it together? Would it be something like x=log9-3? If not can someone please show me how to I should start and complete this problem. Answer by jsmallt9(3296)   (Show Source): You can put this solution on YOUR website!Solving an equation for x means getting x by itself on one side of the equation. In your equation the x in in the argument of a log function. Somehow we need to be able to extract the x from the argument of log. The simplest, most common way to do this is to rewrite the equation in exponential form. In general can be rewritten as . Using this on your equation, , we get: (since log (without a base) is a base 10 log). We can now solve this. Start by simplifying the left side: Now we can multiply both sides by 1/9 (or divide by 9):