How do you solve 5(10^y)=1+2(10^y)?

1 Answer
May 10, 2018

I tried this:

Explanation:

Let us write it as:

5(10^y)-2(10^y)=1

collect:

(10^y)[5-2]=1

(10^y)*3=1

10^y=1/3

take the log in base 10 of both sides:

log_(10)(10^y)=log_(10)(1/3)

giving:

y==log_(10)(1/3)=-0.477121