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Express the given expression without logs, in simplest form. Assume all variables represent positive values.

log_(11)(11^(-5z^(3)))
Answer:

Express the given expression without logs, in simplest form. Assume all variables represent positive values.\newlinelog11(115z3) \log _{11}\left(11^{-5 z^{3}}\right) \newlineAnswer:

Full solution

Q. Express the given expression without logs, in simplest form. Assume all variables represent positive values.\newlinelog11(115z3) \log _{11}\left(11^{-5 z^{3}}\right) \newlineAnswer:
  1. Apply Inverse Property: Let's apply the inverse property of logarithms which states that logbbx=x\log_b b^{x} = x.log11(115z3)=5z3\log_{11}(11^{-5z^{3}}) = -5z^{3}

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