4.75
4.00
1.75
1.00
Correct answer is B
log2(12x−10)=1+log2(4x+3)
Recall, 1=log22, so
log2(12x−10)=log22+log2(4x+3)
= log2(12x−10)=log2(2(4x+3))
⟹(12x−10)=2(4x+3)∴
12x - 8x = 4x = 6 + 10 = 16 \implies x = 4
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