70.6k views
2 votes
Solve for equation x.
3In(x)+2In(4)=In(128)

1 Answer

3 votes


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

User Ram Babu
by
8.0k points

Related questions

1 answer
1 vote
150k views
asked Feb 18, 2024 8.8k views
Ggiroux asked Feb 18, 2024
by Ggiroux
7.6k points
1 answer
4 votes
8.8k views