Question

if log 3 to the base 30=a,log 5 to thhe base 30=b,then find the value of log 32 to the base 50 in terms of a and b​

Answer 1

Answer:

log

30

3=a and log

30

5=b

To find log

30

8, we will use log

30

30=1

⟹log

30

30=1

⟹log

30

(3×5×2)=1

⟹log

30

3+log

30

5+log

30

2=1

⟹a+b+log

30

2=1

⟹log

30

2=(1−a−b)

∴log

30

8=log

30

2

3

=3log

30

2=3(1−a−b)

Answer 2

Answer:

30 x50 therefore we need to multiply 32 × 50