Question

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

Answer 1

Answer:

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

Step-by-step 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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