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Answered

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Please help.... Solve the equation
[tex]\sf 16^{x-9}=\cfrac{1}{2}[/tex]
ASAP

Sagot :

Answer:x = 8.75

Step-by-step explanation:

First, write 16 as 2^4.

So, the equation becomes - (2^4)^(x - 9) = 1/2

simplify the left side and write 1/2 as 2^-1.

so the equation becomes

2^{4(x-9)} = 2^-1

Now only take the exponents from both side-

{4(x-9)} = -1

now just solve the equation.

 {4(x-9)} = -1

so,4x - 36 = -1

so,4x = 35

so, x = 35÷4=8.75

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