If 4^x+1 = 64, then what is the value of x^4

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22-04-2015
Mathematics

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If 4^x+1 = 64, then what is the value of x^4

Sagot :

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Panoyin Panoyin · Answer 1 · 2015-04-30T16:35:15-04:00

Panoyin Panoyin

30-04-2015

[tex]4^{x} + 1 = 64 \\4^{x} = 63 \\ln(4^{x}) = ln(63) \\xln(4) = ln(63) \\x = \frac{ln(63)}{ln(4)}[/tex]

[tex](\frac{ln(63)}{ln(4)})^{4} = 79.78006702 [/tex]

The value of x⁴ is equal to 79.8006702

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