i need help with logarithms please?

Question

log (base5) 200 or log 200/5 or log 40

simplifies to..

A. 2 + log (base 5) 8
B. 2log (base 5) 8
C. 40log (base 5) 2
D. 8
E. cannot be simplified.

they look complicated because obviously i can't make logarithm equations using my keyboard.


please help meee.

Answer 1

Let log be log to base 5 in the following:-
log 200
log (5 x 40)
log 5 + log 40
1 + log 40
1 + log (5 x 8)
1 + log 5 + log 8
1 + 1 + log 8
2 + log 8
OPTION A

Answer 2

log(base 5) 200 has the right answer as (A)



(a), 2 + log (base 5) 8 = log(base 5) 5^2 + log(base 5) 8
=log(base 5)25 + log (base 5) 8
= log(base 5) 25*8
= log(base 5) 200;


(b).2log (base 5) 8= log (base 5)8*2
=log(base5)64

(c). 40log (base 5) 2=log(base5)2^40

Answer 3

Log (base 5) 200
= log (base 5) (25*8)
= log (base 5) (25) + log (base 5) (8)
= 2 + log (base 5) 8

Answer 4

IT IT OPTION A.
FOR DETAILS LOOK BELOW.
































































































































































log(base5)200
= log(base 5) (5*5 *8)
= log(base5)25 + log(base 5)8
= 2 + log(base 5)8

Answer 5

log(base 5) 200 is not log 200/5,
assumin that in the last log you mean the natural logarithm

The formula is

log (base a ) b = log (base c) b / log (base c) a


Therfore, in case of natural logarithm that you simply write log, you have

log (base a) b = log b/ log a

So, going back to our case, we have:

log (base 5) 200 = log 200/log 5 and this is not log 40

Answer 6

Simple

Log (base 5) 200
= log (base 5) (25*8)
= log (base 5) (25) + log (base 5) (8)
= 2 + log (base 5) 8


This is your answer. Which is option A.

Thank you.

Answer 7

log (base5) 200 = log (base5) (8)(25) = log(base5)8 + log

(base5)5² = log(base5)8 + 2 log(base5)5 = log(base5)8 + 2

Answer A

Answer 8

log_5(200) = log_5{5^2*8} = log_5(5^2) + log_5(8) = 2 + log_5(8)