Logarithmic Equations

 


1. Solve:

logrovnice1    x > 0
Solution:
3+log7x = 8 – 4log7x
5log7x  = 5
log7x = 1
x = 71 = 7

K = {7}

2. Solve:

logrovnice2    x > 0
Solution:
logrovnice2riesenie
5+logx = 9-3logx
4logx  = 4
logx  = 1
x = 101= 10

K = {10}

3.Solve:

logrovnice3    x > 0
Solution:
logrovnice3riesenie
K = {3-0,5}

4. Solve:

log3(5+4.log2(x-1)) = 2                 x > 1
Please log in to view the solution.

5. Solve:

log(x+5) - log(x-1) = 1-log2                 x > 1
Please log in to view the solution.

6. Solve:

log(x+2) + log(x-7) = 2.log(x-4)               x > 7
Please log in to view the solution.

7. Solve:

log5x +log (2x + 3) = 1 + 2.log(3-x)                x < 3
Please log in to view the solution.

8. Solve:

log(1+x)–log(1-x) = log(x+3)-log(4-x)            x < 1
Please log in to view the solution.

9. Solve:

2log3x2 + 3log4x3 = 4log2x2 +4log6x                    x > 0
Please log in to view the solution.


10.

Solve in real numbers:

logaritmicke-rovnice-10z.gif
Please log in to view the solution.

11.Solve in real numbers:

logaritmicke-rovnice-11z.gif
Please log in to view the solution.

12.Solve in real numbers:

logaritmicke-rovnice-12z.gif
Please log in to view the solution.

13.Solve in real numbers:

logaritmicke-rovnice-13z.gif
Please log in to view the solution.

14.Solve in real numbers:

logaritmicke-rovnice-14z.gif
Please log in to view the solution.

15.Solve in real numbers:

logaritmicke-rovnice-15z.gif
Please log in to view the solution.

16.Solve in real numbers:

logaritmicke-rovnice-16z.gif
Please log in to view the solution.

17.Solve in real numbers:

logaritmicke-rovnice-17z.gif
Please log in to view the solution.

18.Solve in real numbers:

logaritmicke-rovnice-18z.gif
Please log in to view the solution.

19.Solve in real numbers:

logaritmicke-rovnice-19z.gif
Please log in to view the solution.


20.Solve in real numbers:

logaritmicke-rovnice-20z.gif
Please log in to view the solution.

21.Solve in real numbers::

logaritmicke-rovnice-21-1
Please log in to view the solution.

22.Solve in real numbers::

logaritmicke-rovnice-22-1
Please log in to view the solution.

23. V množine R riešte:

logaritmicke-rovnice-23-1
Please log in to view the solution.

24.Solve in real numbers::

logaritmicke-rovnice-24-1
Please log in to view the solution.

25.Solve in real numbers::

logaritmicke-rovnice-25-1
Please log in to view the solution.

26.Solve in real numbers::

logaritmicke-rovnice-26-1
Please log in to view the solution.

27.Solve in real numbers::

logaritmicke-rovnice-27-1
Please log in to view the solution.

28.Solve in real numbers::

logaritmicke-rovnice-28-1
Please log in to view the solution.

29.Solve in real numbers::

logaritmicke-rovnice-29-1
Please log in to view the solution.

30.Solve in real numbers::

logaritmicke-rovnice-30-1
Please log in to view the solution.