Question 3

Which of the following value of 'X' satisfies the equation $$81^{4x+4}=243^{2x+8}$$ ?

Solution

Expression : $$81^{4x+4}=243^{2x+8}$$

=> $$(3^4)^{4x+4}=(3^5)^{2x+8}$$

=> $$(3)^{16x+16}=(3)^{10x+40}$$

=> $$16x+16=10x+40$$

=> $$16x-10x=40-16$$

=> $$6x=24$$

=> $$x=\frac{24}{6}=4$$

=> Ans - (B)


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