Logarithmic functions<span> are the inverses of exponential </span>functions.<span>The </span>logarithmic function y=loga(x) <span> is called the </span>logarithmic function<span> with base a . </span>When a constant c<span> is added to the input of the parent function </span><span><span>f<span>(x)</span>=<span>loga</span><span>(x)</span></span></span><span>, the result is a </span>horizontal shift c<span> units in the </span>opposite<span> direction of the sign on </span>c<span>. Our function is shifted 3 units to the right. </span>It is shifted 2 units vertical.(2 units down).