Here's a concrete example
If you have a prefab concrete form that is 2 meters by 3 meters by 1.5 meters. How many cubic meters of concrete do you need to form the block?
21 * 31 * 1.51 = 93 meters
That is the same as 9 cubic meters
Notice the base numbers are multiplied but the exponents are added.
If you want to solve this you have to use logarithms.
3^x=81
answer:
Log (3x) =Log (81)
x * Log (3) = Log (81)
x = Log(81)/Log(3)
On the calculator it look like this.
$${\mathtt{x}} = {\frac{{log}_{10}\left({\mathtt{81}}\right)}{{log}_{10}\left({\mathtt{3}}\right)}} \Rightarrow {\mathtt{x}} = {\mathtt{3.999\: \!999\: \!999\: \!999\: \!999\: \!9}}$$
It is really 4
If you do natural log it round it proper.
$${\mathtt{x}} = {\frac{{ln}{\left({\mathtt{81}}\right)}}{{ln}{\left({\mathtt{3}}\right)}}} \Rightarrow {\mathtt{x}} = {\mathtt{4}}$$
how do i calculate exponents with this calculator?
Please give a concrete example if you want to be shown how to do it, such as 3^x=81........etc.
Here's a concrete example
If you have a prefab concrete form that is 2 meters by 3 meters by 1.5 meters. How many cubic meters of concrete do you need to form the block?
21 * 31 * 1.51 = 93 meters
That is the same as 9 cubic meters
Notice the base numbers are multiplied but the exponents are added.
If you want to solve this you have to use logarithms.
3^x=81
answer:
Log (3x) =Log (81)
x * Log (3) = Log (81)
x = Log(81)/Log(3)
On the calculator it look like this.
$${\mathtt{x}} = {\frac{{log}_{10}\left({\mathtt{81}}\right)}{{log}_{10}\left({\mathtt{3}}\right)}} \Rightarrow {\mathtt{x}} = {\mathtt{3.999\: \!999\: \!999\: \!999\: \!999\: \!9}}$$
It is really 4
If you do natural log it round it proper.
$${\mathtt{x}} = {\frac{{ln}{\left({\mathtt{81}}\right)}}{{ln}{\left({\mathtt{3}}\right)}}} \Rightarrow {\mathtt{x}} = {\mathtt{4}}$$