Final answer to the problem
$x=\frac{\ln\left(\frac{2}{3}\right)}{\ln\left(2\right)-\ln\left(9\right)}$
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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
Apply natural logarithm to both sides of the equation
Learn how to solve exponential equations problems step by step online.
$\ln\left(2\right)\left(x-1\right)=\ln\left(3\right)\left(2x-1\right)$
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 2^(x-1)=3^(2x-1). Apply natural logarithm to both sides of the equation. Solve the product \ln\left(2\right)\left(x-1\right). Solve the product \ln\left(3\right)\left(2x-1\right). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n).
Final answer to the problem
$x=\frac{\ln\left(\frac{2}{3}\right)}{\ln\left(2\right)-\ln\left(9\right)}$
Exact Numeric Answer
$x=0.2695773$
