5+3lnx=7 solve for x?. do not round the answer to the nearest hundred

2 Answers
Feb 19, 2018

#x=1.947734041#

Explanation:

#"Given:", 5+3lnx=7#

#3lnx=7-5#

#3lnx=2#

#lnx=2/3#

#x=e^(2/3)#

#x=1.947734041#

Feb 19, 2018

#x=e^(2/3)#

Explanation:

#"isolate 3lnx by subtracting 5 from both sides"#

#rArr3lnx=7-5=2#

#"divide both sides by 3"#

#rArrlnx=2/3#

#•color(white)(x)[log_bx=nhArrx=b^n]#

#"note that "lnx=log_ex#

#rArrlnx=2/3rArrx=e^(2/3)~~1.9477#