SOLUTION: I need your help with this problem please: Solve for X: 3^2x+3^x=6

The easiest and least complicated method is to assign a VARIABLE to . I will assign a, or replace  with a

Thus,  becomes:  

 ----------  is the same as , leading to 

 ------- Subtracting 6 from each side

(a - 2)(a + 3) = 0 ------- Factoring quadratic equation to solve for a

a - 2 = 0        OR        a + 3 = 0

a = 2            OR        a = - 3



a = 2

Since "a" was assigned to , or was used to replace , we can then say that 

 ------------ Exponential form

 -------- Logarithmic form

, or 



a = - 3

Since "a" was assigned to , or was used to replace , we can then say that 

 ---------- Exponential form

 ------ Logarithmic form

IGNORE the above LOGARITHMIC FORM since a log CANNOT YIELD a value < 0.

You can do the check!! 

===================

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

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



For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL

MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra, 

Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,

GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/.