Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume the variable is positive.) a) ln z(z − 1)6, z > 1 b) ln(x2-1)/x7, x > 1 c) log2(square root of (a2-9)/7, a > 3

Q: How do I expand this log expression? xz/5y x times the square root z over 5y

A: We have to expand the log expression:

Q: Which value(s) satisfy the following equation? log₂ (x²) + 2log 8 X 392 log₂ (x³) +20 log (32) > 0

A: We need to solve the equation. x=883,262,922.38

Q: (b) log(- yz-4

A:

Q: Write the expression as a single logarithm with coefficient 1. log(x – 5) + 3 log(2x + 1) – 2 log(x)

A: properties of logarithms are alogcb=logcba logca+logcb=logcab logca-logcb=logcab

Q: A) Express the given quantity as a single logarithm. ln(8) + 3 ln(3)

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: 3. 5 log „z+2 log „x- log „y-5 log „a

A: