Math  /  Numbers & Operations

Question21 a) 55103=5,510x55 \cdot 10^{-3}=5,5 \cdot 10^{x} b) 625106=6,2510x625 \cdot 10^{-6}=6,25 \cdot 10^{x} c) 81104=8,110x81 \cdot 10^{-4}=8,1 \cdot 10^{x}

Studdy Solution
Equate the exponents from both sides to solve for xx.
8.1103=8.110x    x=38.1 \cdot 10^{-3} = 8.1 \cdot 10^x \implies x = -3
Therefore, the solutions are: a) x=2x = -2 b) x=4x = -4 c) x=3x = -3

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