Final answer to the problem
$x=\log_{2}\left(62\right)$
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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 property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
$2^{-1}2^x=31$
Learn how to solve problems step by step online. Solve the exponential equation 2^(x-1)=31. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiply both sides of the equation by 2. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation.
Final answer to the problem
$x=\log_{2}\left(62\right)$
Exact Numeric Answer
$x=5.9541963$
