Step-by-step explanThis polynomial has three terms. The first one is 4x2, the second is 6x, and the third is 5. The exponent of the first term is 2. The exponent of the second term is 1

8 0

2 years ago

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

SVETLANKA909090 [29]

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:

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

3 0

2 years ago

Read 2 more answers

You are a mechanic who is measuring the valve clearance on a motorcycle engine. The current clearance for one of the valves is 0

iren2701 [21]

Answer:

Step-by-step explanation:

5 0

1 year ago