Digital ACT Math Practice Question #1286
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Remember $\log(100) = 2$. Power rule: $2 + 3(2) - 0.5(-3) = 2 + 6 + 1.5 = 9.5$.
Expand the expression using logarithm properties: $$\log_{10}\left(\frac{100x^3}{y^{1/2}}\right) = \log_{10}(100) + \log_{10}(x^3) - \log_{10}(y^{1/2})$$ $$= 2 + 3\log_{10}(x) - \frac{1}{2}\log_{10}(y).$$ Substitute $\log_{10}(x) = 2$ and $...
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