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snow_lady [41]
3 years ago
15

For what value of x does 3 Superscript 2 x Baseline = 9 Superscript 3 x minus 4?

Mathematics
2 answers:
Natalka [10]3 years ago
8 0
Answer: B
Hope this helps
Gala2k [10]3 years ago
5 0

Answer:

b. 2

Step-by-step explanation:

3^{2X} = 9^{3X - 4}  ------------------------------------(1)

To solve the equation above, we will follow the steps below;

9 = 3²

Will replace 9 = 3² in equation (1)

3^{2X} = (3^{2}) ^{3X - 4}

open the bracket

3^{2X} = 3^{6x - 8}  

The 3 on the left-hand side will cancel-out the 3 on the right-hand side of the equation. Thus our equation becomes;

2x = 6x - 8

subtract 6x from both-side of the equation

2x - 6x = -8

-4x = -8

Divide both-side of the equation by -4

\frac{-4X}{-4}  = \frac{-8}{-4}

(On the left-hand side of the equation, -4 will cancel-out -4 while on the right-hand side of the equation -8 will be divided by -4)

x = 2

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