Question

6 power x find 192 find x​

Answer 1

Answer:  x = 2.5

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Step-by-step explanation:

$6^{x}=192\\\\6^{x}=6*32\\\\log(6^{x})=6*32\\\\x(log6)=log(6*32)\\\\x(log6)=log6+log32\\\\x(log6)=log6+5log2\\\\x=\frac{log6+5log2}{log6}\\\\x=1+5\frac{log2}{log6}\\\\x=1+5(\frac{0.301}{0.778} ) \\\\x=1+5*0.3\\\\x=1+1.5\\\\x=2.5$