Sainik School Entrance Exam 2019 Solved Paper

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Question : 27 of 150

Marks: +1, -0

If

5^{3x+4}=25×5^{4x-1}

then the value of

x

is:

-3
-5
5
3

Solution:

(d)

5^{3x+4}=25×5^{4x-1}

5^{3x+4}=5^2×5^{4x-1}

5^{3x+4}=5^{4x-1+2}

5^{3x+4}=5^{4x+1}

Comparing on both sides

3x+4=4x+1

x=3

.

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