Question

identify the expression that is equivalent to (look at pic)

a) ln3/ln10
n. 10log3
c. ln 10/3
d. 1/log3
e. none

Answer 1

\[\log_{a} b=(\log_{x} b)/\log_{x}a \]

Answer 2

ln mean base e

Answer 3

so is it none of these?

Answer 4

no the answer is there

Answer 5

@dorkkk look at the formula
\[\log ^{a} _{b}=\frac{\ln(a)}{\ln(b)}\]
here in your question a=10 ,b=3 put in the above formula and let me know answer !

Answer 6

take base 10

Answer 7

@eamier any base can be used .whatever you like !

Answer 8

why use ln. make numerator log 10 base 10, denominator log 3 base 10.

Answer 9

so.. the numerator will be 1

Answer 10

you can write in that way as well and you wrote it correctly !. as i mentioned earlier it is up to you whatever base (except for 0 ,infinity and negative numbers ) you like can be used the only restriction is that the base of numerator and denominator must be same .

Answer 11

this question has given answer there. so i want to make it same as the answer(c). you not seeing the answer?

Answer 12

you ok @dorkkk

Answer 13

not seeing it :/

Answer 14

when we want to change the base, the new base can be anything..
refer above formula. so to make it suitable with the answer we need to do a little try an error.

Answer 15

if you want to make it base e, it will be like this (ln 10)/(ln 3)

Answer 16

no answer like that. try with base 10, and ...