Final answer to the problem
$x=\log_{2}\left(1.5\right)$
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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
- Load more...
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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
$\log_{2}\left(2^x\right)=\log_{2}\left(1.5\right)$
2
Use the following rule for logarithms: $\log_b(b^k)=k$
$x=\log_{2}\left(1.5\right)$
Final answer to the problem
$x=\log_{2}\left(1.5\right)$
Exact Numeric Answer
$x=0.585$
