Learning Objectives

Problem 1 of 3

A) 3^(x+1)=e(5x)

-put the log in front of the base the three

log3^(x+1)=loge(5x)

-put the exponent on front of the base

(x+1)log3=loge(5x)

-doing that you are now able to multiply the log3 with the brackets since the brackets are like numbers

xloge3+log3=loge(5x)

-put all the X's to one side

log3+5x=log3

-take out all the X's

x(log3+5)=log3

-get the X by itself and solve

x=log3/(log3+5)

=.1801

2log^{3(x+4)-log₃(-x)=2}