Question 200918
3^x -4 =2
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3^x = 6
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take  log  both  sides
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log(3^x) =log 6
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or  ,,,,,,x log 3 = log 6
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x=  log 6 / log 3
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x= 1.631
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check,,,,,,3^(1.631) =6,,,,,ok
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if  problem  was ,,,,,3^(x-4) = 2
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(x-4) log 3 =  log 2 
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x-4 = log2/log3 = .631
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x= 4.631
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check
3^(4.631-4) =2,,,,, ok