Use the Laws of Logarithms to combine the expression into a

Use the Laws of Logarithms to combine the expression into a single logarithm.

a) log(a) + 8log(b)

b) ln(x²-25) - ln(x+5)

c) log₂(6) - 6log₂(x) + 1/2log₂(x+1)

Solution

a.    log a + 8 log b

    log a + log b⁸

log(a b⁸)

b. ln (x²-25) - ln(x+5)

ln(x²-25/x+5)= ln(x-5)

c. log₂6 - 6log₂x + 1/2 log₂(x+1)

log₂6+ log₂(x+1)^1/2- log₂x⁶

log₂(6(x+1)^1/2/x⁶)