You might find it easier to use substitution of
a logarithm by a letter to keep from getting
bogged down in the notation.



Take logs of both sides



Use this rule:

"The logarithm of an exponential number is the 
exponent times the logarithm of the base."

(x+2)log(5) = x*log(3)

Now substitute the letter A for log(5) and B for  log(3)

(x+2)A = xB

A(x+2) = Bx

Ax+2A = Bx

Ax-Bx = -2A

x(A-B) = -2A

x = 

Now replace the letter A by log(5) 
and the letters B by log(3) 

x = 

Then take a calculator and find x = -6.301320206

Edwin

 

You can do the check!! 



If you need a complete and detailed solution, let me know!!



Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously.  

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