SOLUTION: Solve the equation: log4x = 2.5

Question 610648: Solve the equation:
log4x = 2.5
Answer by ashipm01(26) (Show Source): You can put this solution on YOUR website!
The logarithm of a number is the exponent by which another fixed value, the base, has to be raised to produce that number.
So first we note that the variable that we are seeking is in the parameter to the logarithm function. To isolate that term, take the base of the logarithm function (10 for the standard log function) and raise it by each side of the equation, as shown here:

Which is equivalent to:

That can be simplified to:

Now divide both sides of the equation by four to isolate the x term:

Which simplifies to:

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