SOLUTION: I am having trouble solving the following equation: 3^(3x-4)=9^x. Any help would be appreciated.

Question 58818: I am having trouble solving the following equation:
3^(3x-4)=9^x. Any help would be appreciated.
Answer by rcmcc(152) (Show Source): You can put this solution on YOUR website!

to solve this equation wou must simplify the equation to a common base. you can use logarithmic terms but in this case simplifying to a common base is easier.

in this case 9 can be simplified to

cancel the base and you get simplified equation
3x-4=2x
add 4 to the other side
3x=2x+4
subtract 2x
x=4
In your equation x=4
Good Luck.
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