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Question

If 2x1=25=2a4, then find the value of x and a.

A
x=9,a=6
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B
x=6,a=9
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C
x=5,a=6
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D
x=4,a=1
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Solution

The correct option is B x=6,a=9
Given: 2x1=25=2a4
The bases are same. Hence, the exponents should be same.
Here, 2x1=25
Then, x1=5x=5+1=6x=6

Similarly, 25=2a4
Then, 5=a4a=5+4=9a=9

Hence, the value of x is 6 and the value of a is 9.

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