MakenzleeS507928 MakenzleeS507928
  • 25-10-2022
  • Mathematics
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How do I solve this exponential function using logarithms, it says if necessary you can round to the nearest hundredth, please show work!

How do I solve this exponential function using logarithms it says if necessary you can round to the nearest hundredth please show work class=

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WhitleyC750388 WhitleyC750388
  • 25-10-2022

The given equation is

[tex](x+7)=(2x-1)[/tex]

At first, we have to isolate x on one side and the numerical term on the other side, then

Add 1 to both sides

[tex]\begin{gathered} x+7+1=2x-1+1 \\ x+8=2x \end{gathered}[/tex]

Subtract x from both sides

[tex]\begin{gathered} x-x+8=2x-x \\ 8=x \end{gathered}[/tex]

The solution of the equation is x = 8

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