How does the value of log 100 compare with the value of log 20?

The value of log 100 is about 4 times the value of loge 20

The value of log2100 is about 7 times the value of loge 20

The value of log2100 is about 3 times the value of log 20

O

The value of log2100 is about 3 times the value of loge 20

option A

Step-by-step explanation:

log_2 (100)

we can simplify it

we can use base change formula

log_2 (100) = / frac{ln/left (100/right) }{ln/left (2/right) }

log_2 (100) = 6.643856

Second value is:

log_6 (20)

we can simplify it

we can use base change formula

log_6 (20) = / frac{ln/left (20/right) }{ln/left (6/right) }

log_6 (20) = 1.67195

so, we know that

6.6438 is almost 4 times of 1.67195

Option 3