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  • 22-10-2019
  • Mathematics
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20. Suppose that A is a number with log(A) = 1.352.
a. What is the value of log(1000A)?

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  • 22-10-2019

Answer:4.352

Step-by-step explanation:

Given

[tex]\log \left ( A\right )=1.352[/tex]

we know

[tex]\log \left ( x\right )=y[/tex]

Thus [tex]x=10^{y}[/tex]

Applying identity we get

[tex]A=\left ( 10\right )^{1.352}[/tex]

[tex]A=22.4905[/tex]

For [tex]\log \left ( 1000A\right )[/tex]

[tex]=\log \left ( 1000\times 22.49\right )[/tex]

[tex]=\log \left ( 22490.5461\right )[/tex]

[tex]=4.352[/tex]

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