Use properties of logarithms to condense the logarithmic exp

Use properties of logarithms to condense the logarithmic expression below. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions. 1/8 ln x + ln y 1/8 ln x + ln y = (Simplify your answer.) Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Evaluate logarithmic expressions if possible. 2 ln(x + 7) - 9 ln x 2 ln(x + 7) - 9 ln x =

Solution

12 . (1/8)lnx +lny

use the log properties : loga +logb = log(a*b)

loga -logc = log(a/c)

a*logb = logb^a

So, ln(x^1/8) +lny = ln[x^(1/8)*y]

13 2ln(x+7) -9lnx

ln(x+7)^2 - lnx^9

ln[(x+7)^2/x^9]