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kompoz [17]
4 years ago
11

Log2(x+2)-log2(x-5)=3

Mathematics
1 answer:
vlabodo [156]4 years ago
5 0
Answer:

x=3

Explanation:

<span><span><span>log2</span><span>(x+5)</span></span>−<span><span>log2</span><span>(x−2)</span></span>=3</span>

combine the log terms as follows

<span><span><span>log2</span><span>(<span><span>x+5</span><span>x−2</span></span>)</span></span>=3</span>

then by definition

<span><span>(<span><span>x+5</span><span>x−2</span></span>)</span>=<span>23</span>=8</span>

then some algebra

<span>x+5=8x−16</span>

<span>7x=21,x=<span>3</span></span>

<span><span>
</span></span>

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