Ivan the terrible, or Ivan IV, was the first tsar of Russia. During his reign he gained lots of land through creating a centrally controlled government
The correct answer to this open question is the following.
Although there are no options attached, we can say the following.
The preparations that the colonists performed prior to the battle of Bunker Hill were the following.
The colonists were very aware of the imminent attack of the English troops. So Colonel William Prescott prepared the colonists to defend the hills that surrounded the town. At the very top of Beed Hill, almost 1000 colonists decided to build some walls and fortifications to impede the march of the British soldiers that came from the city of Boston.
The Battle of Bunker Hill was fought on Jule 17, 1775, and although the British won the Battle, they had many casualties against an inexéienced army And this represented a moral victory that gave confidence to the colonists.
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>