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hodyreva [135]
3 years ago
14

If 36^2x=6 then solve the equation​

English
2 answers:
Andreyy893 years ago
7 0

make the number all be 6

36 = 6^2

36^2x = 6^4x

6^4x = 6

4x=1

x=1/4

diamong [38]3 years ago
4 0

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=\dfrac{1}{4}

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