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Solve for All Values Ofx Log_(8)(3x^2+9x-20)=2 Answer Attempt 2 Out of 3 Additional Solution (C) Rerhove Solution X=square , X=square

Problemas

Solve for all values ofx log_(8)(3x^2+9x-20)=2 Answer Attempt 2 out of 3 Additional Solution (C) Rerhove Solution x=square , x=square

Roztwór

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Respuesta

The solutions to the equation are and .

Explicación

## Step 1The given equation is \(log_{8}(3x^{2}+9x-20)=2\). To solve this equation, we need to convert the logarithmic equation into an exponential equation.### **The formula for converting a logarithmic equation to an exponential equation is **## Step 2Applying the formula, we get .## Step 3Simplify the equation to get .## Step 4Rearrange the equation to get .## Step 5Factor the quadratic equation to get \((3x-7)(x+12) = 0\).## Step 6Setting each factor equal to zero gives the solutions and .