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Mashutka [201]
4 years ago
6

Square root of 216k^4

Mathematics
1 answer:
Kitty [74]4 years ago
7 0
Remember
\sqrt{ab}=(\sqrt{a})(\sqrt{b})

so
\sqrt{216k^4}=(\sqrt{216})(\sqrt{k^4})=(6\sqrt{6})(k^2)=6k^2\sqrt{6}

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5 0
3 years ago
<img src="https://tex.z-dn.net/?f=e%5E%7B2x%7D%20%3D%20ln%205" id="TexFormula1" title="e^{2x} = ln 5" alt="e^{2x} = ln 5" align=
KiRa [710]
e ^{2x} = ln5

Solve for the real domain

e ^{2x} = ln(5)

if f(x) =g(x), then ln(f(x))= ln(g(x))

ln(e ^{2x} ) = ln(ln(5))

Solve : <span>ln(e ^{2x} ) = ln(ln(5))
</span>
use the logarithmic definition :

ln(e^{f(x)} ) = f(x)

ln(e^{2x} ) = 2x

2x=ln(ln(5))

Divide both sides by 2 :

\frac{2x}{2} = \frac{ln(ln(5))}{2}

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