2ln10+log20/log121-ln11 equals -18.743, why and how?
I was given this problem for homework but whenever I enter it into my calculator I get something completely different. What am I doing wrong?
2ln10+log20/log121-ln11 equals -18.743, why and how?
$${\mathtt{2}}{\mathtt{\,\times\,}}{ln}{\left({\mathtt{10}}\right)}{\mathtt{\,\small\textbf+\,}}{\frac{{log}_{10}\left({\mathtt{20}}\right)}{{log}_{10}\left({\mathtt{121}}\right)}}{\mathtt{\,-\,}}{ln}{\left({\mathtt{11}}\right)} = {\mathtt{2.831\: \!933\: \!610\: \!243\: \!228\: \!5}}$$
It is because division is done before addition and subtraction Remember PEDMAS ![]()
To do it on the calc you need to put more brackets in, then it gives you the answer that you seek :))
( 2ln10+log20 ) / ( log121-ln11 )
$${\frac{\left({\mathtt{2}}{\mathtt{\,\times\,}}{ln}{\left({\mathtt{10}}\right)}{\mathtt{\,\small\textbf+\,}}{log}_{10}\left({\mathtt{20}}\right)\right)}{\left({log}_{10}\left({\mathtt{121}}\right){\mathtt{\,-\,}}{ln}{\left({\mathtt{11}}\right)}\right)}} = -{\mathtt{18.743\: \!302\: \!368\: \!896\: \!347\: \!2}}$$