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Solve for x
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Re: Solve for x
by Eigenvalue » Sat Sep 19, 2026 9:53 am
Rewrite [tex]4^{x-1 }[/tex] as 2[tex]x^{2(x-1) }[/tex], as 4=2²
[tex]2^{x}[/tex]=2[tex]x^{2(x-1)}[/tex]
As the bases of the equation are the same, the exponents can be set equal
x=2(x-1)
x=2x-2
x=2
[tex]2^{x}[/tex]=2[tex]x^{2(x-1)}[/tex]
As the bases of the equation are the same, the exponents can be set equal
x=2(x-1)
x=2x-2
x=2
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Re: Solve for x
by nycmath » Sat Sep 19, 2026 10:22 am
Eigenvalue wrote:Rewrite [tex]4^{x-1 }[/tex] as 2[tex]x^{2(x-1) }[/tex], as 4=2²
[tex]2^{x}[/tex]=2[tex]x^{2(x-1)}[/tex]
As the bases of the equation are the same, the exponents can be set equal
x=2(x-1)
x=2x-2
x=2
Correct and direct.
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