Final answer to the problem
$x=\frac{13}{3}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
Apply the formula: $a\log_{b}\left(x\right)$$=\log_{b}\left(x^a\right)$, where $a=-2$, $b=3$ and $x=x-4$
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$\log_{3}\left(\left(x-4\right)^{-2}\right)=\sqrt[3]{8}$
Learn how to solve problems step by step online. Solve the logarithmic equation -2log3(x+-4)=8^(1/3). Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=-2, b=3 and x=x-4. Calculate the power \sqrt[3]{8}. Express the numbers in the equation as logarithms of base 3. For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \log(a)=\log(b) then a must equal b.
Final answer to the problem
$x=\frac{13}{3}$
Exact Numeric Answer
$x=4.3333333$
