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Logarithmic Exponential Equations

1. Solve:

log3(2x - 7) = 2              2x > 7
Solution:
log3(2x - 7) = 2
log3(2x - 7) = log332
2x – 7 = 32
2x – 7 = 9
2x = 16
2x = 24
x = 4

K = {4}

2. Solve:

log2( 9- 2x) = 3 – x       2x < 9
Solution:
logexporov

3. Solve:

log3( 1 + log3(2x-7)) = 1           2x > 7
Solution:
log3( 1 + log3(2x-7)) = 1
log3( 1+ log3(2x-7)) = log33
1 + log3(2x-7) = 3
log3(2x-7) = 2
log3(2x-7) = log39
2x-7 = 9
2x = 16
2x = 24
x = 4

K = {4}

4. Solve:

log3(3x- 8) = 2 – x      3x > 8
Solution:
logexporov2

5. Solve:

logexporov3zad
Solution:
logexporov3

5. Solve:

logexporov3zad
Solution:
logexporov3


6.Solve:

logaritmicke-exponencialne-rovnice-6z.gif

Solution:

logaritmicke-exponencialne-rovnice-6r.gif


7. Solve:

logaritmicke-exponencialne-rovnice-7z.gif

Solution:

logaritmicke-exponencialne-rovnice-7r.gif


8. Solve:

logaritmicke-exponencialne-rovnice-8z.gif

Solution:

logaritmicke-exponencialne-rovnice-8r.gif


9. Solve:

logaritmicke-exponencialne-rovnice-9z.gif

Solution:

logaritmicke-exponencialne-rovnice-9r.gif


10.Solve:

logaritmicke-exponencialne-rovnice-10z.gif

Solution:

logaritmicke-exponencialne-rovnice-10r.gif