<h2>
Answer:</h2>
<h3>a. ans) - 27</h3>
<h3>b.ans) 2</h3>
<h3>c.ans) - 17</h3>
<h3>d.ans) - 7</h3>
<h3>e.ans) - 25</h3>
<h2>Hope it help you </h2>
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2x+6 is the base
Then the equation is logarithm of 144 on basis 2x + 6 = 2
Then [2x + 6]^2 = 144
Now expand the square binomial
4x^2 + 24x + 36 = 144
4x^2 + 24x + 36 - 144 = 0
4x^2 + 24x - 108 = 0
Divide by 4
x^2 + 6x - 27 = 0
Factor: (x + 9 ) (x - 3) = 0
x = -9 and x = 3
The only valid is x = 3, because x = -9 yields 2x + 6 = - 12 and the logarithm function cannot have negative basis.
Then the answer is x = 3.
Answer:
what?
Step-by-step explanation:
