How do you solve $23^{x} = 6$ $23^x=6$ ?

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Answer 1 · 2016-04-09T05:29:39

$x = 0.5714$ $x=0.5714$

$23^{x} = 6$ $23^x=6$ means $x = {log}_{23} 6$ $x=log_(23)6$

As ${log}_{b} a = \frac{log a}{log b}$ $log_ba=loga/logb$

$x = \frac{log 6}{log 23} = \frac{0.778151}{1.361728} = 0.5714$ $x=log6/log23=0.778151/1.361728=0.5714$

How do you solve 23x=623^x=6?