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galina1969 [7]
2 years ago
12

What is the value of x if g^x-1-2= 25?

Mathematics
2 answers:
SVETLANKA909090 [29]2 years ago
3 0

Answer:

Third option: x=\frac{5}{2}

Step-by-step explanation:

<h3> The correct exercise is attached.</h3>

The equation given is:

9^{x-1}-2=25

 The steps to find the value of "x" are shown below:

1. Add 2 to both sides of the equation:

9^{x-1}-2+2=25+2\\\\9^{x-1}=27

2. Descompose 9 and 27 into their prime factors:

9=3*3=3^2\\27=3*3*3=3^3

3. Substitute them into the equation:

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

4. Knowing that If a^n=b^m, then n=m, we get:

2(x-1)=3

5. Apply Distributive property:

2x-2=3

6. Add 2 to both sides:

2x-2+2=3+2\\\\2x=5

7. Divide both sides of the equation by 2:

\frac{2x}{2}=\frac{5}{2}\\\\x=\frac{5}{2}

lidiya [134]2 years ago
3 0

Answer:

x = \frac{5}{2}

Step-by-step explanation:

this is correct answer on ed-genuity, hope this helps! :)

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