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Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.

8 ln x -(1/3) ln y
Choose one answer.
a. ln x^8 y^3
b. ln x^8 /3"sqrt"y
c. ln x^8 3"sqrt"y
d. ln x^8/y^3

The answer I originally came up with, was ln(x^8y^3), but this is not an option, since answer a does not have parenthesis.

  • math -

    8 ln x -(1/3) ln y
    = ln(x^8) - ln(y^(1/3))
    = ln (x^8/(y^(1/3))

    if in b)
    you mean ln(x^8/cuberoot(y))
    that would be it, and the same as mine

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