1) log_3 (30x+18) - log_3 (6) = log_3 (31)

2) ln4+ln (x-7) = ln8

3) 1 / (4x-1) = 5

4) 6*4^ (log_4 (x)) = 12x-15

5) lg (5x+11) - lg1/2=lg13

6) log_1/5 (4x+7) + log_1/5 (4) = log_1/5 (24)

7) 7*7^ (log_7 (x)) = 12x-17

8) (x+2) ^5=32

1) log3_ (30x + 18) - log3_6 = log3_ 31;

log3_ (30 x + 18) = log3_31 + log3_6;

log3_ (30x + 18) = log3_ (31*6);

30x + 18 = 186;

30x = 168;

x = 168/30 = 84/15.

2) ln4 + ln (x - 7) = ln 8;

ln (4 * (x-7)) = ln 8;

4x - 28 = 8;

4x = 36;

x = 9.

3) 4x - 1 = 1/5;

4x - 1 = 0,2;

4x = 1,2;

x = 0,3.

4) ...

6*x = 12 x - 15;

- 6x = - 15;

x = 2,5.,

5) ...

lg ((5x+11) * : 1/2) = lg 13;

lg ((5x+11) * 2) = lg 13;

10 x + 22 = 13;

10 x = - 9;

x = - 0,9.

6) ...

log1/5_ ((4x+7) * 4) = log1/5_24;

16x + 28 = 24;

16x = - 4;

x = - 4 / 16;

x = - 0,25.

7) ...

7 * x = 12 x - 17;

- 5x = - 17;

x = 17/5;

x = 3,4.

8) ...

(x+2) ^5 = 32;

(x+2) ^5 = 2^5;

x+2 = 2;

x = 0.