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If 27(2x - 1) = 2433 find the value of x
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if 27(2x - 1) = 2433 find the value of x

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james_mark
Asked by james_markrep:723
School not set Nigeria
20 July 2020

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judziy
Judziy answeredrep:1.9K
University of Benin Nigeria
05 November 2020
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27(2x - 1) = 2433

We can express both sides in terms of 3.

27 = 33

243 = 35

Hence, the equation becomes:

33(2x - 1) = 35(3)

36x - 3 = 315

from indices, since both sides have same number. i.e 3, we just evaluate the power. That is,

6x - 3 = 15

add 3 to both sides,

6x - 3 + 3 = 15 + 3

6x = 18

divide both sides by 6

x = 18/6

x = 3

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