from cmath import inf
def custom_log(a : int, b : int) -> int:
turn = 0
if b == 1:
b = 2
turn += 1
while a > 0:
a //= b
turn += 1
return turn
for _ in range(
int(input())
):
a, b = map(int, input().split())
ans = inf
for i in range(100):
ans = min(ans, (custom_log(a, b+i) + i))
print(ans)
#include <bits/stdc++.h>
typedef long long ll;
typedef long double ld;
#define fr(i, a, b) for (ll i = a; i < b; i++)
#define rf(i, a, b) for (ll i = a; i >= b; i--)
typedef std::vector<long long> vi;
#define F first
#define S second
#define fast \
ios_base::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0);
#define mod 1000000007
#define PB push_back
#define MP make_pair
#define PI 3.14159265358979323846
#define all(a) a.begin(), a.end()
#define mx(a) *max_element(all(a))
#define mn(a) *min_element(all(a))
const ll INF = LLONG_MAX / 2;
const ll N = 2e5 + 1;
using namespace std;
int main()
{
fast;
ll t = 1;
std::cin >> t;
while (t--)
{
ll a, b, i, j = 0;
std::cin >> a >> b;
if (b > a)
{
cout << 1 << "\n";
}
else if (a == b)
{
cout << 2 << "\n";
}
else
{
ll ans = mod;
if (b == 1)
{
fr(i, 1, 31)
{
ll co = 0, d = a;
while (d != 0)
{
d = d / (i + b);
co++;
}
ans = min(ans, i + co);
}
cout << ans << "\n";
continue;
}
fr(i, 0, 31)
{
ll co = 0, d = a;
while (d != 0)
{
d = d / (i + b);
co++;
}
ans = min(ans, i + co);
}
cout << ans << "\n";
}
}
}
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