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3 years ago

How do you solve 216^x-1=6

Mathematics

2 answers:

jolli1 [7]3 years ago

4 0

$216^{x-1}=6 \\
(6^3)^{x-1}=6 \\
6^{3(x-1)}=6 \\
6^{3x-3}=6^1 \\
3x-3=1 \\
3x=4 \\
x=\frac{4}{3}$

vlada-n [284]3 years ago

4 0

$216^{x-1}=6\\
ln(216^{x-1})=ln(6)\\
(x-1)ln(216)=ln(6)\\
xln(216)-ln(216)=ln(6)\\
xln(216)=ln(6)+ln(216)\\
x= \frac{ln(6)+ln(216)}{ln(216)} \approx 1,333$

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