They now have a great water source and a way to travel?
<span>Hawaii was acquired by the United States through annexation. It was an illegal overthrow led by Caucasian businessmen many of whom were citizens of the kingdom of Hawaii supported by the US government. Queen Liliuokalani did not want to risk loss of life so she did not fight the overthrow</span>
Explanation:
The "containment policy" was the U.S. approach to containing, or preventing, the spread of Communism after World War II. The idea was to make other countries prosperous enough to avoid the temptation of communism.
Move all the terms containing a logarithm to the left side of the equation.<span><span>log<span>(2x+1)</span>−log<span>(x−2)</span>=1</span><span>log<span>(2x+1)</span>-log<span>(x-2)</span>=1</span></span>Use the quotient property of logarithms, <span><span><span>logb</span><span>(x)</span>−<span>logb</span><span>(y)</span>=<span>logb</span><span>(<span>xy</span>)</span></span><span><span>logb</span><span>(x)</span>-<span>logb</span><span>(y)</span>=<span>logb</span><span>(<span>xy</span>)</span></span></span>.<span><span>log<span>(<span><span>2x+1</span><span>x−2</span></span>)</span>=1</span><span>log<span>(<span><span>2x+1</span><span>x-2</span></span>)</span>=1</span></span>Rewrite <span><span>log<span>(<span><span>2x+1</span><span>x−2</span></span>)</span>=1</span><span>log<span>(<span><span>2x+1</span><span>x-2</span></span>)</span>=1</span></span> in exponential form using the definition of a logarithm. If <span>xx</span> and <span>bb</span> are positive real numbers and <span>bb</span><span>≠≠</span><span>11</span>, then <span><span><span>logb</span><span>(x)</span>=y</span><span><span>logb</span><span>(x)</span>=y</span></span> is equivalent to <span><span><span>by</span>=x</span><span><span>by</span>=x</span></span>.<span><span><span>101</span>=<span><span>2x+1</span><span>x−2</span></span></span><span><span>101</span>=<span><span>2x+1</span><span>x-2</span></span></span></span>Solve for <span>xx</span>Tap for more steps...<span><span>x=<span>218</span></span><span>x=<span>218</span></span></span>Verify each of the solutions by substituting them back into the original equation <span><span>log<span>(2x+1)</span>=1+log<span>(x−2)</span></span><span>log<span>(2x+1)</span>=1+log<span>(x-2)</span></span></span> and solving. In this case, all solutions were found to be valid.<span><span>x=<span>218</span></span><span>x=<span>218</span></span></span>The result can be shown in both exact and decimal forms.Exact Form:<span><span>x=<span>218</span></span><span>x=<span>218</span></span></span>Decimal Form:<span>x=<span>2.625</span></span>
