Elementary functions\Logarithms\Using rules

No Description Difficulty Syllabus Level
1 a log base 2/10(x)-log base 2/10(x-b)=log base 2/10(x-c); 2NI Intermediate A-level C3 Related material
2 a^x=b; find x to c dps; NI Intermediate A-level C3 Related material
3 b*log_a (x)+c*log_a (x)-d*log_a (ex); b,c,d,e +ve; MC Intermediate A-level C3 Related material
4 c loga (y)-b loga (x+d)=e loga (y)+loga (x); WI Intermediate A-level C3 Related material
5 c loga (y/x)-b loga (y/x+d)=e loga (y/x)+loga (y/x);implicit WI Intermediate A-level C3 Related material
6 ln(x+a)+ln(b)-cln(x); a,b,c +ve; MC Intermediate A-level C3 Related material
7 ln(x+a)/(x^b); a,b +ve; WI Intermediate A-level C3 Related material
8 ln_a(1/a^b); NI Intermediate A-level C3 Related material
9 ln_a(a^b); NI Easy A-level C3 Related material
10 Log base a (b) = c; a,b,c +ve; 3NI Easy A-level C3 Related material
11 Log_q(p) = r equivalent form; p,q given; 3NI Easy A-level C3 Related material
12 Log_q(p) = r equivalent form; p,q,r given; 3NI Easy A-level C3 Related material
13 Log_q(p) = r equivalent form; p,r given; 3NI Easy A-level C3 Related material
14 Log_q(p) = r equivalent form; q,r given; 3NI Easy A-level C3 Related material
15 Solve log_a(bx+c)-log_a(x)=d; 2NI Hard Undergraduate level 1 Related material
16 Solve log_a(bx-c)+log_a(x)=1; MC Easy Undergraduate level 1 Related material
17 Given y=log_a(x), write log_a(b/x^c) in terms of y; 2NI Hard Undergraduate level 1 Related material
18 Given y=log_a(x), write log_a(bx^c) in terms of y; 2NI Easy A-Level C2 Related material
19 Given p=log_a(b) and q=log_a(c), write log_a(b^d.c^e) in terms of p and q; 2NI Easy A-Level C2 Related material
20 Solve log_a(bx-c)+log_a(x)=1; WI Intermediate A-Level C2 Related material