Question 998835
1)
{{{log(a,(b^4)) =(log(a,(b)))^4}}}
{{{4log(a,(b)) <>(log(a,(b)))^4}}}

answer: false

2)
{{{ln(5sqrt(xy))=-5(ln(x)+ln(y))}}}

{{{ln(5(xy)^(1/2))=-5(ln(x*y))}}}

{{{(1/2)ln((5x)(5y))=-5(ln(x*y))}}}

{{{(1/2)(ln(5x)+ln(5y))<>-5(ln(x*y))}}}

answer: false

3)
{{{ln(e^3)=ln(e^5)-ln(e^2) }}}
{{{ln(e^3)=ln(e^5/e^2) }}}
{{{ln(e^3)=ln(e^3) }}}

answer: true

4)
{{{ln((3^b)(a^b))=b(ln(a)+ln(3))}}}

{{{ln((3^b)(a^b))=b(ln(3a))}}}

{{{ln((3^b)(a^b))=ln((3a)^b))}}}

{{{ln((3^b)(a^b))=ln((3^b)(a^b))}}}

answer: true