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<p>Convert each of the following to logarithmic form.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">$(3x)^{y+2}=k$</span></div></li><li><div class="list-item-content"><span class="list-item-text">$20^{2}=400$</span></div></li><li><div class="list-item-content"><span class="list-item-text">$(3x)^{y+2}=k$</span></div></li></ol>

Convert each of the following to logarithmic form.

Conversion between Exponential and Logarithm Form

Exponential and Logarithmic Functions

<p>Convert each of the following to logarithmic form</p>
<div class="content-block content-block--columns"><div class="question-columns question-columns--3" data-layout="3"><div class="question-column" style="flex: 1; align-self: flex-start;"><ol class="abc-list"><li><div class="list-item-paragraph">$x^{2y}=4$</div></li></ol></div><div class="question-column" style="flex: 1; align-self: flex-start;"><ol class="abc-list" start="2"><li><div class="list-item-paragraph">$5^x =12$</div></li></ol></div><div class="question-column" style="flex: 1; align-self: flex-start;"><ol class="abc-list" start="3"><li><div class="list-item-paragraph">$(4x)^{5-p} = a$</div></li></ol></div></div></div>

Convert each of the following to logarithmic form

<p>Convert each of the following to logarithmic form.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">$x^{2y}=4$</span></div></li><li><div class="list-item-content"><span class="list-item-text">$5^x=12$</span></div></li><li><div class="list-item-content"><span class="list-item-text">$(4x)^{5-p}=a$</span></div></li></ol>

<p>Convert each of the following to logarithmic form.</p>
<div class="content-block content-block--columns"><div class="question-columns question-columns--3" data-layout="3"><div class="question-column" style="flex: 1; align-self: flex-start;"><ol class="abc-list"><li data-list-item-id="item-1774162885218-bx80e1plk"><div class="list-item-paragraph">${{\left( 3x \right)}^{y+2}}=k$</div></li></ol></div><div class="question-column" style="flex: 1; align-self: flex-start;"><ol class="abc-list" start="2"><li data-list-item-id="item-1774162890362-y9o5ml1ds"><div class="list-item-paragraph">${{20}^{2}}=400$</div></li></ol></div><div class="question-column" style="flex: 1; align-self: flex-start;"><ol class="abc-list" start="3"><li data-list-item-id="item-1774162901554-3br7fnv84"><div class="list-item-paragraph">${{\left( 3x \right)}^{y+2}}=k$</div></li></ol></div></div></div>

<p>Convert each of the following to logarithmic form.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">${{x}^{2y}}=4$</div></li><li><div class="list-item-paragraph">${{5}^{x}}=12$</div></li><li><div class="list-item-paragraph">${{\left( 4x \right)}^{5-p}}=a$</div></li></ol>

<ol class="abc-list"><li><div class="list-item-paragraph">Given that ${{\log }_{\sqrt{2}}}x=m$ and ${{\log }_{4}}y=n$, express $\frac{\sqrt{y}}{{{x}^{6}}}$ in terms of $m$ and $n$.</div><p style="text-align: right;">[4]</p></li><li><div class="list-item-paragraph">Solve the equation ${{\log }_{2}}\left( 3x-2 \right)={{\log }_{4}}\left( {{x}^{2}}+1 \right)+\frac{2}{{{\log }_{\sqrt{2}}}2}$.</div><p style="text-align: right;">[6]</p></li></ol>

Solving Logarithm Equations

2020 ANDSS AM S4 P2 Q4

<p>Convert each of the following to logarithmic form.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">${{x}^{3y}}=6$</div></li><li><div class="list-item-paragraph">${{7}^{x}}=15$</div></li><li><div class="list-item-paragraph">${{\left( 2x \right)}^{4-p}}=b$</div></li></ol>

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