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

(12^(log_(12)(8sqrtw)))
Answer:

Express the given expression without logs, in simplest form. Assume all variables represent positive values. $\newline$ $\left(12^{\log _{12}(8 \sqrt{w})}\right)$ $\newline$ Answer:

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Full solution

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

\newline

\left(12^{\log _{12}(8 \sqrt{w})}\right)

\newline

Answer:

Use Logarithmic Property: We are given the expression $12^{\log_{12}(8\sqrt{w})}$ . To express this without logs, we need to use the property of logarithms that states $a^{\log_a(b)} = b$ .
Apply Property of Logarithms: Apply the property of logarithms to the given expression. $12^{\log_{12}(8\sqrt{w})} = 8\sqrt{w}$
Final Simplification: Since there are no further simplifications needed, we have expressed the given expression without logs in its simplest form.

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