Jaguarfire
Jaguarfire Jaguarfire
  • 13-02-2015
  • Mathematics
contestada

How do you solve
216^x-1=6

Respuesta :

Аноним Аноним
  • 13-02-2015
[tex]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[/tex]
Answer Link
naǫ
naǫ naǫ
  • 13-02-2015
[tex]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}[/tex]
Answer Link

Otras preguntas

Rewrite these statements replacing each of the underlined illogical phrases with logical phrases. (use mais, et, ou, or a forn of à+definate article)
Explain what happens to an embryo during the first two months of pregnancy
Can someone help me find the slope of the line? (its not 4,4)
A food scientist conducts research on the what content of food
An item costs $330 before tax, and the sales tax is $23.10 . find the sales tax rate. write your answer as a percentage.
NEED HELP ASAP!! Need right answer!1. Complete the analogies by selecting the pair of words whose relationship most resembles the relationship of the first pair
Can someone help me find the slope of the line? (its not 4,4)
The ural and caucasus mountains form part of the natural boundary between europe and asia. a. True b. False
William sold half of his comic books and then bought 14 more he now has 24 with how many did he have in the beginning
What are the bonds that hold two amino acids together called?