Final answer to the problem
$x=\frac{\ln\left(\frac{9}{7}\right)}{\ln\left(49\right)-\ln\left(3\right)}$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Scegliere un'opzione
- Risolvere per x
- Semplificare
- Fattore
- Trovare le radici
- Load more...
Can't find a method? Tell us so we can add it.
1
Apply the formula: $y=x$$\to \ln\left(y\right)=\ln\left(x\right)$, where $x=3^{\left(x+2\right)}$ and $y=7^{\left(2x+1\right)}$
$\ln\left(7\right)\left(2x+1\right)=\ln\left(3\right)\left(x+2\right)$
Learn how to solve problems step by step online.
$\ln\left(7\right)\left(2x+1\right)=\ln\left(3\right)\left(x+2\right)$
Learn how to solve problems step by step online. Solve the exponential equation 7^(2x+1)=3^(x+2). Apply the formula: y=x\to \ln\left(y\right)=\ln\left(x\right), where x=3^{\left(x+2\right)} and y=7^{\left(2x+1\right)}. Apply the formula: x\left(a+b\right)=xa+xb, where a=2x, b=1, x=\ln\left(7\right) and a+b=2x+1. Apply the formula: a\ln\left(x\right)=\ln\left(x^a\right). Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=2, x=\ln\left(3\right) and a+b=x+2.
Final answer to the problem
$x=\frac{\ln\left(\frac{9}{7}\right)}{\ln\left(49\right)-\ln\left(3\right)}$
Exact Numeric Answer
$x=0.0899734$
