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02-09-2021
Mathematics

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Solve the exponential equation: 4 1/2x=256
A) x = 4
B) x = 2
C) x= 8
OD) x= 1/2

Solve the exponential equation 4 12x256 A x 4 B x 2 C x 8 OD x 12 class=

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02-09-2021

Hi there!

We are given:

[tex]4^{\frac{1}{2}x} = 256[/tex]

We can rearrange this into a logarithm:

[tex]log_4256 = \frac{1}{2}x[/tex]

Evaluate the left side:

4 = 1/2x

Multiply both sides by 2:

x = 8

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