Final answer to the problem
$x=\frac{6}{7}$
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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 $81$ in it's prime factors
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$\left(3^{4}\right)^{3x}=3^{\left(3-5x\right)}27^{\left(x+3\right)}$
Learn how to solve problems step by step online. Solve the exponential equation 81^(3x)=3^(3-5x)27^(x+3). Decompose 81 in it's prime factors. Simplify \left(3^{4}\right)^{3x} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals 3x. Decompose 27 in it's prime factors. Simplify \left(3^{3}\right)^{\left(x+3\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 x+3.
Final answer to the problem
$x=\frac{6}{7}$
Exact Numeric Answer
$x=0.8571429$
