What is log675 with base 5 × log 3 with base 3?
We have to calculate (log 675 to the base 5) × (log 3 to the base 3)
Note the following important points :
(1.) log 675 to the base 5
=> log 675 to the base ‘e’ / log 5 to the base ‘e’
=> ln 675 / ln 5
Since 675 = 5^2 × 3^3
=> ln 675 = ln [5^2 × 3^3]
=> ln (5^2) + ln (3^3)
=> 2 ln 5 + 3 ln 3
Hence, log 675 to the base 5
= ln 675 / ln 5
= [2ln 5 + 3ln 3] / ln 5
(2.) Similarly, log 3 to the base 3
=> Since the logarithm of any natural number 'x' to the base of same number 'x' is always 1 (since any natural number raised to the power '1′ is equal to the same number) ,
Thus, (log 3 to the base 3) = 1
Hence, our problem reduces to:
(log 675 to the base 5) × (log 3 to the base 3)
=> [(2ln 5 + 3ln 3) / ln 5] × (1)
=> (2ln 5 + 3ln 3) / ln 5
=> So we only require the values of natural logarithm of 3 and 5 :)
We should remember these values, or we can always use log table.
Since ln 3 = 1.098
and ln 5 = 1.609
=> 2ln 5 = 2(1.609) = 3.218
=> 3ln 3 = 3(1.098) = 3.294
Hence,
solution : (3.218 + 3.294) / 1.609
=> 6.512 / 1.609
=> 4.047
GLAD TO HELP YOU ;))
Answer:
It's 
Step-by-step explanation:
Since w is 4 on A and 2 on B just divide all sides by 2 to get your values for B
4 --> 2
10 ---> 5
2 ----> 1.5
making your answer 15ft^3
hope this helps:)
Answer:
The answer is +48
Step-by-step explanation:
a negative times a negative is a positive. Heres a little tip!
Love= Positive
Hate = Negative
if you love to love youre a lover
if you hate to hate youre a lover
if you hate to love youre a hater
if you love to hate youre a hater
hater= negative number
lover= positive number
(this only applies to multiplication and division)
I hope this was helpful. Make sure to rate or mark as brainliest! or to thank. or all. your choice :)
Answer:
50
Step-by-step explanation:
I took the test
Answer:
a) 160 minutes per day
b) Find the graph attached
c) on 10th week Maria would be walking 2560 minutes per day
Step-by-step explanation:
Week 1 - 5 minutes per day
Week 2 - 10 minutes per day
Week 3 - 20 minutes per day
Week 4 - 40 minutes per day
Week 5 - 80 minutes per day
Week 6 - 160 minutes per day
a) 160 minutes per day
b) Find the graph attached
c) on 10th week Maria would be walking 2560 minutes per day
