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log6^1296
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\[log6^{1296}\] Is that it?
=1296log6 (if the 6 is exponentiated)
the question could be \(\Large \log_6 1296\)
\[ \log_6 1296 =x\]\[6^x = 1296\]\[6^x = 6^1 \cdot 6^1 \cdot 6^2\]\[6^x = 6^{1+1+2}\]\[6^x = 6^4\]Since the bases are constant, we can evaluate the powers.\[\color{green}6^x=\color{green}6^4\]\[x=4\]
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