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how do i calculate exponents with this calculator?

 Aug 25, 2015

Best Answer 

 #2
avatar+1315 
+5

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.

$${\mathtt{x}} = {\frac{{ln}{\left({\mathtt{81}}\right)}}{{ln}{\left({\mathtt{3}}\right)}}} \Rightarrow {\mathtt{x}} = {\mathtt{4}}$$

 Aug 25, 2015
 #1
avatar
0

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.

 Aug 25, 2015
 #2
avatar+1315 
+5
Best Answer

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.

$${\mathtt{x}} = {\frac{{ln}{\left({\mathtt{81}}\right)}}{{ln}{\left({\mathtt{3}}\right)}}} \Rightarrow {\mathtt{x}} = {\mathtt{4}}$$

Dragonlance Aug 25, 2015

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