Answer:
Explanation:
By the power property we know that 2*lnx = ln(x²)
Therefore 2*ln(x+6) = ln((x+6)²)
and 7*lnx = ln(x⁷)
finally by the product property we know that ln(a*b) = lna + lnb
so the recently transformed addition ln((x+6)²) + ln(x⁷) can be transformed into a product since the base of the logarithm are the same (base e for ln):
ln((x+6)²) + ln(x⁷) = ln(x⁷*(x+6)²)
if you would want to further develop it (a+b)²=a²+2*a*b+b²
=ln(x⁷*(x²+12x+36))
by the distributive property of multiplication you can bring x⁷ into the parentheses by multiplying each element inside:
=ln(x⁹+12x⁸+36x⁷)
And I believe that would be the condensation of the expression provided to a single logarithm with coefficient 1.