SOLUTION: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. Assume all variables are positive. 1) log(base of 6)(1/z^3)

Question 1003157: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. Assume all variables are positive.
1) log(base of 6)(1/z^3)
2) log(4x^2)y
Condense the expression to the logarithm of a single quantity.
3) 4[ln z + ln(z + 5)] - 2 ln (z - 5)
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
log(base of 6)(1/z^3) = log(base of 6)(z^-3) = -3*log(base of 6)(z)
log(4x^2)y = log(4) + 2*log(x) + log(y)
4[ln z + ln(z + 5)] - 2 ln (z - 5) = ln[(z(z+5))^4/((z-5)^2)]
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