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lions [1.4K]
3 years ago
10

Find the value of x that makes this statement true

Mathematics
1 answer:
Brrunno [24]3 years ago
4 0
\frac{(-2)^{5x-3}}{(-2)^{2x}} =(-2)^{21}

(-2)^{5x-3-2x}=(-2)^{21}  (The numerator and the denominator has same bases, therefore the powers will get subtracted. It is an exponential property)

(-2)^{3x-3}=(-2)^{21}

3x-3=21  (As the left hand side is equal to right hand side and the bases are on both the sides are equal too, we will equate their exponential power. Another property)

x-1=7

x=8  (After simplifying more, you'll get this)
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