Question

If logb 5=0.41, find logb 12

a)0.068921
b)1.23
c)2.05
d)10.25

Determine which one of the following is the correct application of the change of base formula?

a)log3 14= log10 14/3
b)lo4 17= log10 4/ log10 17
c)log8 3= log10 3/log10 8
d)log9 32 = log10 32-log10 9

Answer 1

Determine which one of the following is the correct application of the change of base formula?

a)log3 14= log10 14/3
b)lo4 17= log10 4/ log10 17
c)log8 3= log10 3/log10 8
d)log9 32 = log10 32-log10 9

The change of base formula is as follows:
log to the base 10 of x
log to the base b of x = ----------------------------------
log to the base 10 of b

Compare this to answer choice C:

c)log8 3= log10 3/log10 8 Here x = 3 and b = 8. This is the only correct choice.