Final answer to the problem
$\log \left(\frac{1}{2^{32}}\right)$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Condense the logarithm
- Expand the logarithm
- Simplify
- Find the integral
- Find the derivative
- Write as single logarithm
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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1
Apply the formula: $a\log_{b}\left(x\right)$$=\log_{b}\left(x^a\right)$, where $a=32$, $b=10$ and $x=\frac{1}{2}$
Learn how to solve condensing logarithms problems step by step online.
$\log \left(\left(\frac{1}{2}\right)^{32}\right)$
Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression log(1/2)32. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=32, b=10 and x=\frac{1}{2}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Calculate the power 2^{32}.
Final answer to the problem
$\log \left(\frac{1}{2^{32}}\right)$
