# math

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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
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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