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Rewrite in logarithmic form: 2⁷ =128 In the form logᵦ a=x

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Final answer:

The logarithmic form of the equation 2⁷ = 128 is log₂ 128 = 7.

Step-by-step explanation:

The logarithmic form of the equation 2⁷ = 128 is log₂ 128 = 7.

In logarithmic form, logᵦ a = x, the base (ᵦ) is the number that the logarithm is taken with respect to, a is the result of the exponential expression, and x is the exponent.

In this case, the base is 2, the result of the exponential expression is 128, and the exponent is 7. Therefore, in logarithmic form, log₂ 128 = 7.

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