$Domain:\ x > 0\\\\3\ln(x)+2\ln(4)=\ln(128)\qquad\text{use}\ \lag_ab^n=n\log_ab\\\\\ln(x^3)+\ln(4^2)=\ln(128)\qquad\text{use}\ \log_ab+\ln_ac=\ln_a(bc)\\\\\ln(16x^3)=\ln(128)\iff16x^3=128\qquad\text{divide both sides by 16}\\\\x^3=8\to x=\sqrt[3]8\\\\\boxed{x=2}\in D$

3 0

3 years ago

Write an absolute value inequality for the graph below.<br>use x for your variable.<br>

Alenkasestr [34]

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.

7 0

3 years ago

Help, Find the domain of the function

adell [148]

Answer:

(-∞,∞)

Step-by-step explanation:

This would form a roughly parabolic shape that extends infinitely along the x-axis. It would reach a height of ³√2 on the y-axis. Because it extends infinitely left and right, it would have an infinite domain. In interval notation, this would be (-∞,∞)

6 0

3 years ago