$$? \%$$ of $$(4)^? = 51.2$$

Solution

Expression : $$? \% of (4)^? = 51.2$$

=> $$\frac{x}{100} \times (4)^x = 51.2$$

=> $$x \times (4)^x = 5120$$

=> $$x \times (4)^x = 5 \times 1024$$

=> $$x \times (4)^x = 5 \times 4 \times 4 \times 4 \times 4 \times 4$$

=> $$x \times (4)^x = 5 \times 4^5$$

Comparing both sides, we get :

=> $$x = 5$$

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