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