Question

$5 in a $10 general admission Night o f the Free with Sultos 10 show that Moderneature.com 1 3114111 ALLSTON NATIONAL THEATRE 9. Solve for x: (Round answer to two decimal points.) 2(3x + 1) = 8 2(3x+1)^5 = 8

Answer 1

Answer:

0.1065

Step-by-step explanation:

Given :$2(3x+1)^5=8$

Solution :

$2(3x+1)^5=8$

$(3x+1)^5=4$

Taking natural log both sides

$ln[(3x+1)^5]=ln 4$

Property : $ln (a^b)=bln(a)$

$5 ln(3x+1)=ln 4$

$ln(3x+1)=\frac{1}{5} ln 4$

$ln(3x+1)=\frac{1}{5} (1.3863)$

$ln(3x+1)=0.27726$

$e^{ln(3x+1)}=e^{0.27726}$

Property : $e^{ln x}=x$

$3x+1=1.3195$

$3x=0.3195$

$x=\frac{0.3195}{3}$

$x=0.1065$

Hence the value of x is 0.1065