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How to solve: 8(10)^x+2=26

First I subtracted 2 from boths sides to get: 8(10)^x=24

Then I divided both sides by 8 getting (10)^x=3

I don't know what do do after this part.

 Dec 4, 2015
edited by Guest  Dec 4, 2015
edited by Guest  Dec 4, 2015
edited by Guest  Dec 4, 2015
edited by Guest  Dec 4, 2015

Best Answer 

 #1
avatar+118724 
+10

How to solve: 8(10)^x+2=26

First I subtracted 2 from boths sides to get: 8(10)^x=24   good

Then I divided both sides by 8 getting (10)^x=3               good

I don't know what do do after this part.

 

When the unknown is a power you usually have  to use logs

 

\((10)^x=3 \\~\\ log(10)^x=log3 \\~\\ xlog(10)=log3\qquad \qquad \mbox{log10=1 when the base is 10} \\~\\ x*1=log3\qquad \\~\\ x=log_{10}3\\~\\ x\approx 0.4771\)

 Dec 4, 2015
 #1
avatar+118724 
+10
Best Answer

How to solve: 8(10)^x+2=26

First I subtracted 2 from boths sides to get: 8(10)^x=24   good

Then I divided both sides by 8 getting (10)^x=3               good

I don't know what do do after this part.

 

When the unknown is a power you usually have  to use logs

 

\((10)^x=3 \\~\\ log(10)^x=log3 \\~\\ xlog(10)=log3\qquad \qquad \mbox{log10=1 when the base is 10} \\~\\ x*1=log3\qquad \\~\\ x=log_{10}3\\~\\ x\approx 0.4771\)

Melody Dec 4, 2015

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