SOLUTION: log↓2(6x-1)-3=2log↓2(x) I don't even know where to start.

Algebra.Com
Question 1106333: log↓2(6x-1)-3=2log↓2(x)
I don't even know where to start.

Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Step 1, explain what the arrows mean.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Note you can write "log base 2 of x" as "log(2,x)", or, better yet, "log(2,(x))".


[write the constant 3 as log base 2 of something]
[rules of logarithms: difference of logs = log of quotient; log(x^n) = n*log(x)]
[if the logs of the expressions are equal, then the expressions are equal]



or

Both solutions satisfy the original equation, so both are solutions.

RELATED QUESTIONS

I don't even know where to start with this one, looking for help Solve for x 27.)... (answered by ankor@dixie-net.com)
How to sketch this graph f(x)=3x+2 and g(x)=-5x+2, they are in the same x axis,where to... (answered by Alan3354,josgarithmetic)
don't know where to start. i think a common base? 6log (x) + log(a) -1/3 log... (answered by solver91311)
Solve. x²-5x+1=0 I`m stuck on this problem. I don`t even know how to start this... (answered by g1000000)
Ok, so I just want to know the method of finding the base of a logarithm. I am given a... (answered by KMST)
(x^2 - 5x -14)/(x^3 -6x^2-7x) (times) (x^2 -4x -5) (divided by) (x^2 +x -30)/(2x) I... (answered by Alan3354)
I need to write the expression using rational exponents rather than radicals. I do not... (answered by mszlmb)
http://diagnostic.achievementseries.com/cdn//1/_graphics_math_18852/d7363902-5a4d-4f49-859 (answered by rothauserc)
Find the sum of this series that is not arithmetic or geometric,... (answered by math_tutor2020,ikleyn,greenestamps)