If (5/7)^4(5/7)^{-3}=(5/7)^{ 5x-2}, then x is:

CTET 2 Math and Science Dec 2018 Paper

Question : 37 of 120

Marks: +1, -0

(5/7)^4(5/7)^{-3}=(5/7)^{ 5x-2}

, then x is:

Solution:

(5/7)^4(5/7)^{-3}=(5/7)^{ 5x-2}

(5/7)^{4-3}=(5/7)^{ 5x-2}

(5/7)^{1}=(5/7)^{ 5x-2}

After comparing both sides, we get

5x- 2 = 1

x = 3/5

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