Answers: 1
![\\\\\text{Domain:}\\\\2x^3-80\ \wedge\ x0\\2x^28\to x^34\to x\sqrt[3]4\\\\x\in(\sqrt[3]{4},\ \infty)\\\\\log_2(2x^3-8)-2\log_2x=\log_2x\qquad\text{add}\ 2\log_2x\ \text{to both sides}\\\\\log_2(2x^3-8)=3\log_2x\qquad\text{use}\ n\log_ab=\log_ab^n\\\\\log_2(2x^3-8)=\log_2x^3\iff2x^3-8=x^3\qquad\text{subtract}\ 2x^3\ \text{from both sides}\\\\-8=-x^3\qquad\text{change the signs}\\\\8=x^3\to x=\sqrt[3]8\\\\x=2\in D](/tpl/images/0158/4645/32577.png)
Another question on Mathematics
Mathematics, 21.06.2019 15:00
What are the possible rational zeros of [tex]f(x) = x^4+2x^3-3x^2-4x+18[/tex]
Answers: 2
Mathematics, 21.06.2019 18:00
Compare the cost of the bike trips from the two companies shown.for both the cost in a linear function of the number of days which statements is true
Answers: 2
Mathematics, 21.06.2019 21:00
Meghan has created a diagram of her city with her house, school, store, and gym identified. a. how far is it from the gym to the store? b. meghan also wants to walk to get some exercise, rather than going to the gym. she decides to walk along arc ab. how far will she walk? round to 3 decimal places.
Answers: 2
Mathematics, 21.06.2019 23:00
The measurement of one angle of a right triangle is 42° what is the measurement of the third angle? (there is no picture)
Answers: 1
You know the right answer?
What is the solution to log2(2x^3-8)-2log2x=log2x?...
Questions
Social Studies, 21.04.2021 02:50
Mathematics, 21.04.2021 02:50
Mathematics, 21.04.2021 02:50
Mathematics, 21.04.2021 02:50
Computers and Technology, 21.04.2021 02:50
Mathematics, 21.04.2021 02:50
Mathematics, 21.04.2021 02:50
Mathematics, 21.04.2021 02:50
Mathematics, 21.04.2021 02:50
Mathematics, 21.04.2021 02:50
Mathematics, 21.04.2021 02:50
World Languages, 21.04.2021 02:50
Social Studies, 21.04.2021 02:50
English, 21.04.2021 02:50
