jessicamccartey9934 jessicamccartey9934
  • 22-10-2019
  • Mathematics
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93. Solve each equation. Express your answer as a logarithm, and then approximate the solution to the nearest thousandth.
c. (2)3x = 9

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enyo enyo
  • 22-10-2019

Answer:

Given:

[tex]2^{3x} = 9[/tex]

Therefore, in order to evaluate the given equation we will take log on both sides:

[tex]3xlog(2) = log(9)[/tex]

Using the values of the above variables , we get :

[tex]3x\times 0.301 = 0.954[/tex]

Therefore,

[tex]x = \frac{0.954}{0.301 \times 3}[/tex]

x = 1.056

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