CONTACT THE EXPRESSIONS.THAT IS USE THE PROPERTIES OF LOGARITHM TO WRITE EACH EXPRESSION AS A SINGLE LOGARITHM WITH A COEFFICIENT OF 1.
In 3-2 in 9 + 18
in 3-2 in (9+6)
in 3-2 (in 4 + in 8)
Thanks for fixing the typos. (Except for persisting in writing "in" for "ln")
#1 From the context, I assume you meant
ln3 - 2ln(9+18)
ln3 - 2ln27
ln3 - 6ln3
-5ln3
-ln 243
or ln 1/243
#2 ln3 - 2ln15
ln3 - ln225
ln (3/225)
ln 1/75
or -ln 75
#3
ln3 - 2(ln4 + ln8)
ln3 - 2ln32
ln3 - ln1024
ln (3/1024)
thank you Steve for explaining it like this I understand a little better. Have a good evening.
To write each expression as a single logarithm with a coefficient of 1, we need to apply the properties of logarithms, specifically the addition, subtraction, and multiplication properties.
Expression 1: in 3-2 in 9 + 18
Step 1: Use the subtraction property: in 3 - 2 in 9 = in (3/9)
Step 2: Combine the two logarithms using the addition property: in (3/9) + 18
Expression 2: in 3-2 in (9+6)
Step 1: Inside the parentheses, apply the addition property of logarithms: in (9 + 6) = in 15
Step 2: Use the subtraction property: in 3 - 2 in 15
Expression 3: in 3-2 (in 4 + in 8)
Step 1: Inside the parentheses, apply the addition property of logarithms: in 4 + in 8 = in (4*8) = in 32
Step 2: Use the subtraction property: in 3 - 2 in 32
Note that in all these expressions, the coefficient of 1 is achieved by using the subtraction property of logarithms.