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Solve for a positive value of x. log_(5)(x)=2 Answer:

Solve for a positive value of x x .\newlinelog⁡5(x)=2 \log _{5}(x)=2 \newlineAnswer:

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Full solution

Q. Solve for a positive value of x x .\newlinelog⁡5(x)=2 \log _{5}(x)=2 \newlineAnswer:
  1. Understand the logarithmic equation: Understand the logarithmic equation.\newlineThe equation log⁡5(x)=2\log_{5}(x) = 2 means that 55 raised to what power equals xx? This is the basic definition of a logarithm.
  2. Convert to exponential form: Convert the logarithmic equation to its exponential form.\newlineUsing the definition of a logarithm, we can rewrite the equation as 52=x5^2 = x.
  3. Calculate the value of x: Calculate the value of x.\newlineSince 525^2 is 2525, we have x=25x = 25.

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