SOLUTION: Solve the logarithmic equation algebraically. Show steps log x=-4

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Question 689687: Solve the logarithmic equation algebraically. Show steps
log x=-4

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Solving equations where the variable is in the argument of a logarithm usually starts with transforming the equation into one of the following forms:
log(expression) = number
or
log(expression) = log(expression)

Your equation is already in the first form. The next step with this form is to rewrite the equation in exponential form. In general log%28a%2C+%28p%29%29+=+q is equivalent to a%5Eq+=+p. Using this patter on your equation (and the fact the the base of log is 10):
10%5E%28-4%29+=+x
The left side simplifies to:
1%2F10000+=+x