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Rewrite m^(w)=r in logarithmic form.

Rewrite mw=r m^{w}=r in logarithmic form.

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Full solution

Q. Rewrite mw=r m^{w}=r in logarithmic form.
  1. Identify Components: Identify the base mm, the exponent ww, and the result rr in the exponential equation mw=rm^{w}=r. In this case, the base is mm, the exponent is ww, and the result is rr.
  2. Understand Relationship: Understand the relationship between exponential and logarithmic forms. The exponential form mw=rm^{w}=r can be rewritten in logarithmic form as log⁡mr=w\log_{m} r = w.
  3. Write in Logarithmic Form: Write the exponential equation mw=rm^{w}=r in logarithmic form.\newlineThe logarithmic form of the equation is log⁡m(r)=w\log_{m}(r) = w.

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