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I need some help with this question:
(My teacher explained it to my class and I couldn't understand him)


I Need Some Help With This Question My Teacher Explained It To My Class And I Couldnt Understand Him class=

Sagot :

chibabykalu16

Answer:

2

Step-by-step explanation:

Let's find the value of "x"

The equation [tex]\log_x(256)=8[/tex] means that x is the base of the logarithm and 256 is the argument (the value being logged).

Using the definition of logarithms, we can rewrite the equation as:

256 = x^8

x = 256^(1/8)

the 8th root in order to find x just like when: x^2 = 100
x = √100 also known as x = 100^(1/2)

x = 2

Therefore, the value of "x" simplifies to:

[tex]\boxed{\boxed{x=2}}[/tex]

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