Solve for x-13-x-44-34-6

Given : (13)^√(x)=4^4 3^4 6 To find : Value of x ⇒ (13)^√(x)=256 81 6 ⇒ (13)^√(x)=169 ⇒ (13)^√(x)=13^2 Equating exponents both sides: ∴√(x)=2⇒ x=4 Hence, valu ...

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Question

$Solve for x :$
$(13)^{\sqrt{x}} = 4^{4} - 3^{4} - 6$

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Solution

$Given : (13)^{\sqrt{x}} = 4^{4} - 3^{4} - 6$
To find : Value of $x$

$\Rightarrow (13)^{\sqrt{x}} = 256 - 81 - 6$
$\Rightarrow (13)^{\sqrt{x}} = 169$
$\Rightarrow (13)^{\sqrt{x}} = 13^{2}$
Equating exponents both sides:
$∴ \sqrt{x} = 2 \Rightarrow x = 4$
Hence, value of $x$ is $4.$

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Solve for x: (13)√x=44−34−6

Given : (13)√x=44−34−6 To find : Value of x ⇒(13)√x=256−81−6 ⇒(13)√x=169 ⇒(13)√x=132 Equating exponents both sides: ∴√x=2⇒x=4 Hence, value of x is 4.

$Solve for x :$
$(13)^{\sqrt{x}} = 4^{4} - 3^{4} - 6$

$Given : (13)^{\sqrt{x}} = 4^{4} - 3^{4} - 6$
To find : Value of $x$

$\Rightarrow (13)^{\sqrt{x}} = 256 - 81 - 6$
$\Rightarrow (13)^{\sqrt{x}} = 169$
$\Rightarrow (13)^{\sqrt{x}} = 13^{2}$
Equating exponents both sides:
$∴ \sqrt{x} = 2 \Rightarrow x = 4$
Hence, value of $x$ is $4.$