Question

Condense the expression ln(6x⁹) - ln(3x²). A) ln(2x⁷)

B) ln(18x⁷)

C) ln(2x⁷/3)

D) ln(1/2x⁷)

Answer 1

To condense the expression ln(6x⁹) - ln(3x²), you can use the quotient rule of logarithms. The simplified expression is ln(2x⁷).

This correct answer is A)

Step-by-step explanation:

To condense the expression ln(6x⁹) - ln(3x²), you can use the quotient rule of logarithms. The quotient rule states that ln(a) - ln(b) = ln(a/b).

So, ln(6x⁹) - ln(3x²) can be condensed as ln((6x⁹)/(3x²)).

Simplifying the expression, we get ln(2x⁷).

Therefore, the condensed expression is ln(2x⁷), which is option A.

This correct answer is A)