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If (4^4)^x = 43^2, what is the value of x?

If (4^4)^x = 43^2, what is the value of x?
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4 votes
If (4^4)^x = 43^2, what is the value of x?

User Soufiane Odf
by
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1 Answer

6 votes

Answer:

x ≈ 1.346566

Explanation:

The given equation simplifies to ...

256^x = 1849

Taking logs, you have ...

x·log(256) = log(1849)

x = log(1849)/log(256)

x ≈ 1.356566

If (4^4)^x = 43^2, what is the value of x?-example-1
User Gaurav Saraswat
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8.5k points
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