Final answer to the problem
$x=\frac{\log_{2}\left(\frac{1}{64}\right)}{3}$
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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
We can take out the unknown from the exponent by applying logarithms in base $10$ to both sides of the equation
$\log_{2}\left(2^{3x}\right)=\log_{2}\left(\frac{1}{64}\right)$
Learn how to solve exponential equations problems step by step online.
$\log_{2}\left(2^{3x}\right)=\log_{2}\left(\frac{1}{64}\right)$
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 2^(3x)=1/64. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation. Use the following rule for logarithms: \log_b(b^k)=k. Divide both sides of the equation by 3.
Final answer to the problem
$x=\frac{\log_{2}\left(\frac{1}{64}\right)}{3}$
Exact Numeric Answer
$x=-2$
