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Express the given expression without logs, in simplest form. Assume all variables represent positive values. log_(12)(12^(4z)) Answer:

Express the given expression without logs, in simplest form. Assume all variables represent positive values.\newlinelog⁡12(124z) \log _{12}\left(12^{4 z}\right) \newlineAnswer:

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Q. Express the given expression without logs, in simplest form. Assume all variables represent positive values.\newlinelog⁡12(124z) \log _{12}\left(12^{4 z}\right) \newlineAnswer:
  1. Recognize Property of Logarithms: Recognize the property of logarithms that states log⁡b(bx)=x\log_b(b^x) = x. Here, the base of the logarithm (bb) is 1212, and the argument of the logarithm is 1212 raised to the power of 4z4z. According to the property, log⁡12(124z)\log_{12}(12^{4z}) simplifies directly to 4z4z.

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