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djverab [1.8K]
2 years ago
6

See the attachment below for the question.

Mathematics
2 answers:
kicyunya [14]2 years ago
6 0

Answer: Third option.

Step-by-step explanation:

We need to remember that:

a^m=a^n\\\\m=n

In this case, given this expression:

4^x=8^{( x- 1)}

We need to descompose 4 and 8 into their prime factors:

4=2*2=2^2

8=2*2*2=2^3

Rewriting the expression:

2^{2x}=2^{3(x - 1) }

Then:

2x = 3(x - 1)

Finally, applying Distributive property on the right side and solving for "x", we get:

2x=3x-3\\\\3=3x-2x\\\\x=3

tangare [24]2 years ago
5 0

Answer:

The correct answer is third option

x = 3

Step-by-step explanation:

It is given that,

4ˣ = 8⁽ˣ ⁻ ¹⁾

<u>To find the value of x</u>

4ˣ  = (2²)ˣ

8⁽ˣ ⁻ ¹⁾ = (2³)⁽ˣ ⁻ ¹⁾

4ˣ = 8⁽ˣ ⁻ ¹⁾

(2²)ˣ =  (2³)⁽ˣ ⁻ ¹⁾

2²ˣ = 2⁽³ˣ ⁻ ³⁾

2x = 3x - 3

3x - 2x = 3

x = 3

The correct answer is third option

x = 3

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