Question

solve exactly.
10 = 2(1+1/(10^x)0
x= ?

Answer 1

\[10 = 2(1+(1/10^x))\]
\[4 = 1/10^x\]
\[10^x = 1/4\]
\[\log_{10}(10^x) = \log_{10}(1/4) \]
\[x = \log_{10}(4) = -.6021\]

Answer 2

I hope this makes sense. Feel free to ask me anything

Answer 3

it does but wondering how you got to 4 = 1/10^x

Answer 4

10 = 2+2/10^x

Answer 5

8 = 2/10^x

Answer 6

Oh, first, divide both sides by 2 so you're left with
\[5 = 1+(1/10^x)\]
Then subtracting one gives you
\[4 = 1/10^x\]

Answer 7

ah okay

Answer 8

that is where I messed up

Answer 9

you are awesome thank you

Answer 10

no prob