newkid2070 newkid2070
  • 22-10-2019
  • Mathematics
contestada

If x and y are positive real numbers, and log(y) = 1 + log(x), express y in terms of x.

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nuuk nuuk
  • 22-10-2019

Answer:[tex]y=10^{10x}[/tex]

Step-by-step explanation:

Given

Equation [tex]\log \left ( y\right )=1+\left ( x\right )[/tex]

We know

[tex]\log_a b=x[/tex]

[tex]b=a^x[/tex]

and [tex]\log m+\log n=\log \left ( m\cdot n\right )[/tex]

Applying identities

[tex]\log \left ( y\right )=\log \left ( 10\right )+\left ( x\right )[/tex]

[tex]\log \left ( y\right )=\log \left ( 10x\right )[/tex]

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

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