Practice Problems

  1. Solve the exponential equation for x.

    2^{\Large 6x+7}=\left(\dfrac{1}{8}\right)^{\Large1-5x}

    x=

  2. Solve the exponential equation for x.

    9^{3x-10}=\left(\dfrac{1}{81}\right)^{\frac16}

    x= 

  3. Solve the exponential equation for x.

    \left(\dfrac{9}8\right)^{3x+12}=1

    x= 

  4. Solve the exponential equation for x.

    5^{\Large 7x+5}=125^{\Large2x-7}

    x=


Source: Khan Academy, https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:exp/x2ec2f6f830c9fb89:exp-eq-prop/e/solve-exponential-equations-using-properties-of-exponents--basic-
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