Rewrite the square root as a fractional exponent.

April 19, 2026Biology

$Rewrite the square root as a fractional exponent.$

ScanSolve AI Answer

April 19, 2026

Answer

$\log_{10} y = \frac{1}{2} \log_{10} x$

Step 1: Rewrite the square root as a fractional exponent. $y = x^{1/2}$

Step 2: Take the logarithm base $10$ (indicated by "LgK" and consistent with previous problems) of both sides of the equation. $\log_{10} y = \log_{10} (x^{1/2})$

Step 3: Apply the power rule of logarithms, $\log_b (M^c) = c \log_b M$ . $\log_{10} y = \frac{1}{2} \log_{10} x$ The logarithmic equation is: $\log_{10 y = \frac{1}{2} \log_{10} x}$ Last free one today — make it count tomorrow, or type /upgrade for unlimited.

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Rewrite the square root as a fractional exponent. y = x^1/2 Step 2: Take the logarithm base 10 (indicated by "LgK" and consistent with previous problems) of both sides of the equation.

Asked on April 19, 2026Biology

This biology question covers important biological concepts and processes. The step-by-step explanation below helps you understand the underlying mechanisms and reasoning.

ScanSolve AI AnswerAnswered on April 19, 2026

Step 1: Rewrite the square root as a fractional exponent. y = x^1/2 Step 2: Take the logarithm base 10 (indicated by "LgK" and consistent with previous problems) of both sides of the equation. _10 y = _10 (x^1/2) Step 3: Apply the power rule of logarithms, _b (M^c) = c _b M. _10 y = (1)/(2) _10 x The logarithmic equation is: _10 y = (1)/(2) _10 x Last free one today — make it count tomorrow, or type /upgrade for unlimited.