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If 36^2x=6 then solve the equation​

If 36^2x=6 then solve the equation​-example-1
User GoGud
by
5.5k points

2 Answers

5 votes

You can observe that
36=6^2 so that you can write both sides as power of the same base (i.e. 6):


36^(2x)=6 \iff (6^2)^(2x) = 6 \iff 6^(4x) = 6^1 \iff 4x=1 \iff x=(1)/(4)

User Kyle Dodge
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4.7k points
3 votes

make the number all be 6

36 = 6^2

36^2x = 6^4x

6^4x = 6

4x=1

x=1/4

User Rafa Romero
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5.9k points