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Tomtit [17]
3 years ago
6

Consider the statement square root 300c^9 = 10c^x square root 3 c

Mathematics
1 answer:
Rasek [7]3 years ago
5 0

Answer:

Given the statement: Square root 300c^9 = 10c^x square root 3 c

⇒\sqrt{300c^9} =10c^x\sqrt{3c}

Squaring both sides we get;

(\sqrt{300c^9})^2= (10c^x\sqrt{3c})^2

Simplify:

300c^9 = 100c^{2x}(3c)

We know: a^m \cdot a^n = a^{m+n}

then;

300c^9 = 300c^{2x+1}

Divide both sides by 300 we get;

c^9 = c^{2x+1}

On comparing both sides we have;

9 = 2x+1

Subtract 1 from both sides we get;

8 = 2x

Divide both sides by 2 we have;

x = 4

Therefore, for the value of x =4 the given statement is true.


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Required

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