Question 355368
log(x/100) = 1
This is fairly simple to solve. One way to solve is starts with separating the log into two logs using the property of logarithms: {{{log(a, (p/q)) = log(a, (p)) - log(a, (q))}}}:
log(x) - log(100) = 1
Since {{{100 = 10^2}}} then log(100) = 2 so now we have:
log(x) - 2 = 1
Now we can isolate the log by adding 2 to each side:
log(x) = 3
At last of all we can rewrite this in exponential form. Since {{{log(a, (p)) = q}}} is equivalent to {{{a^q = p}}} in general, your equation is equivalent to:
{{{10^3 = x}}}
which simplifies to
1000 = x