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Anestetic [448]
3 years ago
6

Evaluate log (Base3) 9

Mathematics
1 answer:
klasskru [66]3 years ago
7 0
Rewrite as an equation.<span><span><span>log3</span><span>(9)</span>=x</span><span><span>log3</span><span>(9)</span>=x</span></span>Rewrite <span><span><span>log3</span><span>(9)</span>=x</span><span><span>log3</span><span>(9)</span>=x</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> does not equal <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>3x</span>=9</span><span><span>3x</span>=9</span></span>Create equivalent expressions in the equation that all have equal bases.<span><span><span>3x</span>=<span>32</span></span><span><span>3x</span>=<span>32</span></span></span>Since the bases are the same, the two expressions are only equal if the exponents are also equal.<span><span>x=2</span><span>x=2</span></span>The variable <span>xx</span> is equal to <span>22</span>.<span>2</span>
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