Question

A)Log7(8x-17)=1
B) log3(4x+3)=0
C)4log81(5x-12)=1
D)log8(3x-1)=1

Answer 1

1)log7 (8x-17)=1, 8x-17=7ˇ1,8x-17=7, 8x=24,x=3
2)4.log81 (5x-12)=1
   log81 (5x-12)=1/4,(5x-12)=(81)ˇ(1/4),(5x-12)=3, 5x=15,x=3
3)log3 (4x+3)=0, 4x+3= 3ˇ0, 4x+3=1,4x=-2,x=-1/2
4)log8 (3x-1)=1, (3x-1)=8ˇ1,3x-1=8, 3x=9, x=3

Answer 2

loga (b) = c, ecli b=aˇ(c)