5^(4-x)=1/5 Process for solving

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To solve the equation 5^(4-x) = 1/5, first rewrite 1/5 as 5^(-1). This gives the equation 5^(4-x) = 5^(-1). By applying the property that if the bases are equal, the exponents must also be equal, set 4 - x equal to -1. Solving for x results in x = 5. The process demonstrates how to handle equations involving exponents and fractions effectively.
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Homework Statement



54-x = 1/5

How would I go about solving a problem like this up until now I haven't had to deal with fractions on either side of an equation

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The Attempt at a Solution

 
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You can rewrite this as 54 - x = 5-1.

You can use the idea that if ax = ay, then x = y.
 

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