How to change base of logarithms: Best answer gets 27 points and brainliest answer

Mathematics

1 answer:

AlekseyPX3 years ago

6 0

Answer:

1/3

Step-by-step explanation:

To change from one base to another, we use the formula

Logb x = Loga x/Loga b

log1/9 (3^(1/3) /3)

log3 ((3^(1/3) /3))

-------------------------

log3 (1/9)

Log a /b = log a - log b

and 1/9 = 3^-2

log3 ((3^(1/3) ) - log3 (3)

-------------------------

log3 (3^-2)

log a^b = blog a

1/3 log3 (3 ) - log3 (3)

-------------------------

-2log3 (3)

We know log3 (3) =1

1/3 (1) - 1

-------------------------

-2 (1)

1/3 - 1

-------------------------

-2

-2/3

------

-2

Copy dot flip

-2/3 * -1/2

1/3

You might be interested in

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont k

RoseWind [281]

Answer:

1. 2

2. 25

3. 1

4. 12

Step-by-step explanation:

what are both numbers in each set both divisible by? that is how to find GCF.

6 0

2 years ago

Read 2 more answers

Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?

Vladimir79 [104]

Refer to the graph shown below. It confirms that points A, B and P are
collinear.

Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
= 8.9443

Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
= 4.4721

Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.

Answer: 2:1 ratio.