How do you solve #13^(3x)-1=91#?

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Answer 1 · 2018-08-08T06:02:42

The solution is #=0.59#

The equation is

#13^(3x)-1=91#

#=>#, #13^(3x)=91+1=92#

Taking logs on both sides

#ln(13^(3x))=ln(92)#

#3xln(13)=ln(92)#

#x=(ln92)/(3*ln13)=0.59#