EdwinX12137 EdwinX12137
  • 31-10-2022
  • Mathematics
contestada

what is the value of x in this logarithmic equation?[tex] \frac{1}{g^{5}} = (g^{ \frac{9}{5}})^{x} [/tex]

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TayshawnY682641 TayshawnY682641
  • 31-10-2022
[tex]\frac{1}{g^5}=(g^{\frac{9}{5}})^x[/tex]

This can be re-written as;

[tex]g^{-5}=g^{\frac{9x}{5}}[/tex]

we can now equate the powers

[tex]-5\text{ =}\frac{9x}{5}[/tex]

Multiply both-side of the equation by 5/9

-5(5/9) = x

-25/9 = x

[tex]x=-2\frac{7}{9}[/tex]

or

x= -2.78

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