10 x^2 = 2^x
ah
well, we will need the calculator or table to do the logs anyway but
log (10 x^2) = log 10 + 2 log x
if base ten logs
= 1 + 2 log x
log 2^x = x log 2
so
1 + 2 log x = x log 2
I need my slide rule or a calculator now :)
10x^2=2^x
Hi!
How do I go about solving an equation like this? It's meant to be a calculator solution but I'd love to know how it's done by hand. Logarithms maybe? .. Thank you in advance (:
3 answers
slide rule ?
Damon, you must be almost as old as I am.
Damon, you must be almost as old as I am.
Wolfram shows 3 real solutions
http://www.wolframalpha.com/input/?i=solve+10x%5E2%3D2%5Ex
http://www.wolframalpha.com/input/?i=solve+10x%5E2%3D2%5Ex