Final answer to the problem
$x=\frac{\ln\left(\frac{9}{7}\right)}{\ln\left(49\right)-\ln\left(3\right)}$
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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 natural logarithm to both sides of the equation
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$\ln\left(7\right)\left(2x+1\right)=\ln\left(3\right)\left(x+2\right)$
Learn how to solve problems step by step online. Solve the exponential equation 7^(2x+1)=3^(x+2). Apply natural logarithm to both sides of the equation. Solve the product \ln\left(7\right)\left(2x+1\right). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n). Solve the product \ln\left(3\right)\left(x+2\right).
Final answer to the problem
$x=\frac{\ln\left(\frac{9}{7}\right)}{\ln\left(49\right)-\ln\left(3\right)}$
Exact Numeric Answer
$x=0.0899734$
