Final answer to the problem
$x=\frac{\log_{3}\left(\frac{1}{6561}\right)}{2}$
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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
Decompose $27$ in it's prime factors
Learn how to solve exponential equations problems step by step online.
$\left(3^{3}\right)^{\left(9^{\left(3+x\right)}\right)}=\sqrt[3]{3}$
Learn how to solve exponential equations problems step by step online. Solve the equation with radicals 27^9^(3+x)=3^(1/3). Decompose 27 in it's prime factors. Simplify \left(3^{3}\right)^{\left(9^{\left(3+x\right)}\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 9^{\left(3+x\right)}. If the bases are the same, then the exponents must be equal to each other. Divide both sides of the equation by 3.
Final answer to the problem
$x=\frac{\log_{3}\left(\frac{1}{6561}\right)}{2}$
Exact Numeric Answer
$x=-4$
