Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

97,193 users

Will someone help me with logarithm homework?

0 votes

1. Rewrite log base 7^343 = x in exponential form.

2. Solve 11^(n+1)= 13 for n.

3. Solve e^(3n)= 9 for n.

asked Mar 22, 2013 in ALGEBRA 2 by andrew Scholar

5 Answers

0 votes

1. Log base 7 343 = x in exponential form

italic log subscript e 7 to the power of 343 space equal space x      Take out log each side

7 to the power of 343 space equal space e to the power of x

space e to the power of x space equal 7 to the power of 343         This is a exponential form.

 

 

 

 

answered Mar 25, 2013 by diane Scholar
0 votes

3.

e^3n = 9

Take logarithm  to each side

loge3n = log9

The logarithm base is e

3n loge = log 9

Recall : loge = 1

log e = 1

3n = log9

3n = log 32

3n = 2log3

Divide each side by 3

There fore n = 2/3 log3.

answered Mar 25, 2013 by diane Scholar
0 votes

2.

11n + 1 = 13

Take logarithm to each side

log11 n + 1 = log13

(n + 1)log11 = log13

Divide each side  by log11

(n + 1)log11 / log11 = log13 / log11

n+1 = log13 / log11

Substitute log13 =1.1139 and log11 = 1.043

There fore n + 1 = 1.1139 / 1.043

n + 1 = 1.06798

Subtract 1 from each side

n + 1 - 1 = 1.06798 - 1

n + 0 = 0.06798

n = 0.06798

n = 0.07 (approximately)


 

answered Mar 26, 2013 by diane Scholar
0 votes

3.

e3n = 9

Take logarithm to each side

loge3n = log9

3nloge = log32

3nloge = 2log3

Divide each side by 3loge

There fore n = 2/3log3 / loge

Substitute loge = 0.4343 and log3 = 0.4771

n = 2/3(0.4771 / 0.4343)

n = 2/3(1.099)

n = 0.73267 (approximately).

answered Mar 26, 2013 by diane Scholar
0 votes

1) The logarthimic equation image

The relationship

image

image is equivalent to image

Exponential form of image is image

image

Rewrite 343 as 7*7*7.

image

image

Solution x  = 3.

answered Jul 1, 2014 by david Expert

Related questions

asked Sep 18, 2014 in ALGEBRA 2 by anonymous
asked May 10, 2014 in ALGEBRA 1 by anonymous
asked Jan 3, 2018 in ALGEBRA 2 by anonymous
asked May 20, 2014 in ALGEBRA 2 by anonymous
...