The value of x in the equation (2.4 × 10^3) × (3 × 10^x) = 7.2 × 109 is 6
How to determine the value of x?
The equation is given as:
(2.4 × 10^3) × (3 × 10^x) = 7.2 × 109
Evaluate the product of 2.4 and 3
(7.2 × 10^3) × (10^x) = 7.2 × 109
Divide both sides by 7.2
10^3 × 10^x = 109
Apply the law of indices
10^(3 + x) = 10^9
This gives
3 + x = 9
Evaluate
x = 6
Hence, the value of x in the equation (2.4 × 10^3) × (3 × 10^x) = 7.2 × 109 is 6
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