Instructions

What approximate value will come in place of question mark (?) in the given questions ? (You are not expected to calculate the exact value.)

Question 41

$$10^{?} - 162 \times 1\frac{1}{3} = 28^{2}$$

Solution

Expression : $$10^{?} - 162 \times 1\frac{1}{3} = 28^{2}$$

=> $$(10)^x - (162 \times \frac{4}{3}) = 784$$

=> $$(10)^x - 216 = 784$$

=> $$(10)^x = 784 + 216 = 1000$$

=> $$(10)^x = (10)^3$$

=> $$x = 3$$


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