Question:

Help with Logarithms please? ?

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What is the value of x in the equation:

log2 (24) - log2 (3) = log5 (x)

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  1. log2 (24) - log2 (3) = log5 (x)

    log2 (24/3)= log5(x)

    log2 (8)=log5(x)

    log2 (2^3)=log5(x)

    3log2(2)=log5(x)

    3=log5(x)

    5^3 =x

    x=125


  2. log2 ( 24 ) - log2 ( 3 ) = log5 ( x )

    Use the quotient property of logarithms.

    log2 ( 24 / 3 ) = log5 ( x )

    3 = log5 ( x )

    Use the inverse property of logarithms.

    5³ = 5^( log5 ( x ) )

    125 = x

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