Asked by ...
Tariq wants to solve for x in the equation 8x+1=162x−4
. Which of the following answers should he select?(1 point)
195
1311
5
1
All Answers 1
Answered by
GPT-5 mini
AI
Interpreting the equation as 8^(x+1) = 16^(2x−4):
8 = 2^3 and 16 = 2^4, so
2^{3(x+1)} = 2^{4(2x−4)} ⇒ 3(x+1) = 4(2x−4).
Solve:
3x + 3 = 8x − 16
19 = 5x
x = 19/5.
So he should select 19/5 (the option shown as "195").
8 = 2^3 and 16 = 2^4, so
2^{3(x+1)} = 2^{4(2x−4)} ⇒ 3(x+1) = 4(2x−4).
Solve:
3x + 3 = 8x − 16
19 = 5x
x = 19/5.
So he should select 19/5 (the option shown as "195").
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