Posted by Anonymous on Tuesday, March 27, 2012 at 9:57pm.
a^3 + 3ab(a+b+3) + b^3 = 10ab
a^3 + 3a^2b + 3ab^2 + 9ab + b^3 = 10ab
a^3 + 3a^2b + 3ab^2 + b^3 = ab
(a+b)^3 = ab
take log of both sides
log (a+b)^3= log ab
3 log(a+b) = log a + log b
log (a+b) = (1/3)(log a + log b)
Q.E.D.
Thank you!
Related Questions
Math Help Please - Which of the following expressions is equal to log (x sqrt-y...
math - write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of...
math(Please help) - 1) use the properties of logarithms to simplify the ...
Algebra - will you please show me step by step in solving: 1/2 log b + 3 log c. ...
math - Logarithm!!! Select all of the following that are true statements: (a) ...
Trigonometry - This is a logs question If u=x/y^2, which expression is ...
Math/trig - Log radical b/ a^2 is equivalent to 1) 1/2 log b + 1/2 log a 2) l/2 ...
Mathematics - Prove that log a, log ar, log ar^2 is an a.p. Is the following ...
Algebra 2 - how do not understand how to do this Log X + Lob (X-3) = 1 I know I ...
math - solve for x without using a calculator 5^(x+1) = 25 i know that x would ...
For Further Reading