Question: Prove: log Subscript a Baseline left parenthesis StartFraction x Over y EndFraction right parenthesis equalslog Subscript a Baseline x minus log Subscript a Baseline y.
Prove: log Subscript a Baseline left parenthesis StartFraction x Over y EndFraction right parenthesis equalslog Subscript a Baseline x minus log Subscript a Baseline y. Question content area bottom Part 1 Let log Subscript a Baseline xequalsm and log Subscript a Baseline yequalsn. Then by the definition of logarithms, xequals a Superscript m and yequals a Superscript n. Part 2 Using the values found above for x and y, what is StartFraction x Over y EndFraction equal to? StartFraction x Over y EndFraction equals a Superscript m minus n (Simplify your answer.) Part 3 Take the logarithms on both sides of the equation. log Subscript a Baseline left parenthesis StartFraction x Over y EndFraction right parenthesis
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