calculus

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Please help me solve this equation.

log[2](3)+log[2](x)=log[2](5)+log[2](x-2)

1. Solve equation by setting up algebraically.
2. Use appropriate properties of Logarithm to reduce the number of logarithmic terms to only one.
3. Solve logarithmic equation.

  • calculus -

    log[2](3)+log[2](x)=log[2](5)+log[2](x-2)
    =>
    log[2](3*x) = log[2](5*(x-2))
    =>
    3x=5(x-2)
    =>
    5x-3x=5*2
    =>
    2x=10
    =>
    x=5

    Check by putting x into the original equation and see if it balances.

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