SOLUTION: log (base 3)(x+9) -log(base 3)x=3 Show me, how to do this problem, so i get it :D

Algebra.Com
Question 315788: log (base 3)(x+9) -log(base 3)x=3
Show me, how to do this problem, so i get it :D

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
subtracting logs means dividing quantities

log3[(x+9) / x] = 3

3^3 = 27 , so ___ log3[(x+9) / x] = log3(27)

removing logs ___ (x+9) / x = 27

multiplying by x ___ x + 9 = 27x ___ 9 = 26x ___ 9/26 = x

RELATED QUESTIONS

log base 3 (x) = log base 3 (1/x)+4 i understand that log base 3 (1/x) is subtracted... (answered by solver91311)
solve: {{{log base x[log base 2(log base 3 of 9)]=2}}} Unfortunately I do not know how... (answered by stanbon)
How do you solve this equation? Log base 3 x+ Log base 3... (answered by ankor@dixie-net.com)
1. Solve the following equations a) log(base 5)x+2 + log(base 5) x-2 - log(base 5)4 =... (answered by mananth)
how do I solve this problem? log (base 8) x = 3? log (base 3) x = 8? I know these... (answered by solver91311)
{{{ log( 3,x ) }}} ^2 + {{{ log( 3,x^2) }}} -3 = 0 What is x? Basically, this question (answered by josgarithmetic)
Hello, We are learning logarithms in my math class and the exam is next week and one... (answered by richwmiller)
Solve and check a)2logm + 3logm = 10 b)log(base 3)x^2 - log(base 3)2x = 2 c)log(base... (answered by solver91311)
What is X in (3x)^(1+ log of X base 3)=3 and how do I get to it? (answered by Alan3354,rothauserc,Theo)