Question 1030138

I have to solve 2log3x=4. (The 3 is subscript)
I took the 2 from in front and used it as the power to 3.  3 squared is 9 and I don't understand how that equals 4.
<pre>{{{2 * log(3, (x)) = 4}}}
{{{log (3, (x)) = 4/2}}} ------- Dividing both sides by 2
{{{log (3 (x)) =2}}}
{{{matrix(1,7, x, "=", 3^2, or, x, "=", 9)}}} ------- Converting to EXPONENTIAL form

As seen, 9 is correct

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Checking
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<pre>{{{2 * log (3, (x)) = 4}}} 
{{{2 * log (3, (9)) = 4}}} ------ Substituting 9 for x 
2 * 2 = 4 ------ {{{matrix(1,3, log (3, (9)), "=", 2)}}}</pre>