# Simplify the following expressions: e^(ln4+ln5) ,e^(2 ln 5) , log_5 4 + log_5 60 -log_5 7

Simplify the following expressions: ${e}^{\mathrm{ln}4+\mathrm{ln}5},{e}^{2\mathrm{ln}5},{\mathrm{log}}_{5}4+{\mathrm{log}}_{5}60-{\mathrm{log}}_{5}7$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

grocbyntza
${e}^{\mathrm{ln}4+\mathrm{ln}5}={e}^{\mathrm{ln}20}=20$.
${e}^{2\mathrm{ln}5}=\left({e}^{\mathrm{ln}5}{\right)}^{2}={5}^{2}=25$
${\mathrm{log}}_{5}4+{\mathrm{log}}_{5}60-{\mathrm{log}}_{5}7={\mathrm{log}}_{5}\left(4\ast 60/7\right)={\mathrm{log}}_{5}\left(240/7\right)$