Find the Inverse log base 0.8 of x/50000

Math
Interchange the variables.
Solve for .
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Rewrite the equation as .
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Solve for
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Rewrite the equation as .
Multiply both sides of the equation by .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Solve for and replace with .
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Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Exponentiation and log are inverse functions.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Since , is the inverse of .
Find the Inverse log base 0.8 of x/50000
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