1) log_3(30x+18)-log_3(6)=log_3(31) 2)ln4+ln(x-7)=ln8 3) 1/(4x-1)=5 4)...

Question

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

Answer 1

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.