Final answer to the problem
$x=-\frac{1}{4}$
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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 $16$ in it's prime factors
Learn how to solve integral calculus problems step by step online.
$\left(2^{4}\right)^x=\frac{1}{2}$
Learn how to solve integral calculus problems step by step online. Solve the exponential equation 16^x=1/2. Decompose 16 in it's prime factors. Simplify \left(2^{4}\right)^x 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 x. 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.
Final answer to the problem
$x=-\frac{1}{4}$
Exact Numeric Answer
$x=-0.25$
