a^log(a) b = b
log(a) b = 1/ log(b) a
log (a^m) b^n = n/m log(a) b
2) lg x^4 - lg x^14 = 6^log(6) 2
4* lg x - 14*lg x = 2
- 10* lg x = 2
lg x = -1/5
x = 10^(-1/5) = 1/⁵√10
---
log(2) 625 = log(2) 5^4 = 4*log(2) 5 = 4/log(5) 2
log(4) 18 = 1/ log(18) 4 = 1/2log(18) 2
a^log(a) b = b
log(a) b = 1/ log(b) a
log (a^m) b^n = n/m log(a) b
2) lg x^4 - lg x^14 = 6^log(6) 2
4* lg x - 14*lg x = 2
- 10* lg x = 2
lg x = -1/5
x = 10^(-1/5) = 1/⁵√10
---
log(2) 625 = log(2) 5^4 = 4*log(2) 5 = 4/log(5) 2
log(4) 18 = 1/ log(18) 4 = 1/2log(18) 2