Question

Solve 1 over 25 = 5^(x+4)
A. -7/2
B. -6
C. 9/2
D. 2

Answer 1

`\boxed{\underline{\tt B.\:x=-6}}`

Explanation:

`\tt \cfrac{1}{25} = 5^((x+4))`

(First, let's convert both sides to the same base):-

`\tt 5^(-2)=5^(x+4)`

(Now, cancel the base of 5 on both sides):-

`\tt -2=x+4`

( Subtract 4 from sides)

`\tt x+4-4=-2-4`

`\tt x=-6`

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