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The equation for wind speed w, in miles per hour, near the center of a tornado is w=93log_(10)(d)+65, where d is the distance in miles that the tornado travels. A. Write this equation in exponential form.

1414. The equation for wind speed w w , in miles per hour, near the center of a tornado is w=93log⁡10(d)+65 w=93 \log _{10}(d)+65 , where d d is the distance in miles that the tornado travels.\newlineA. Write this equation in exponential form.

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Q. 1414. The equation for wind speed w w , in miles per hour, near the center of a tornado is w=93log⁡10(d)+65 w=93 \log _{10}(d)+65 , where d d is the distance in miles that the tornado travels.\newlineA. Write this equation in exponential form.
  1. Isolate logarithmic part: To convert the logarithmic equation to exponential form, we need to use the definition of a logarithm. The equation w=93log⁡10(d)+65w=93\log_{10}(d)+65 can be rewritten by isolating the logarithmic part.
  2. Subtract to isolate: Subtract 6565 from both sides to isolate the logarithmic part: w−65=93log⁡10(d)w - 65 = 93\log_{10}(d).
  3. Divide to solve: Now, divide both sides by 9393 to solve for log⁡10(d)\log_{10}(d): w−6593=log⁡10(d)\frac{w - 65}{93} = \log_{10}(d).
  4. Rewrite as exponent: Using the definition of a logarithm, we can rewrite log⁡10(d)\log_{10}(d) as an exponent: 10(w−65)/93=d10^{(w - 65)/93} = d.

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