how do I write these in logarithmic form?

1. 3^4 = 81

2. (1/2)^4 = 1/16

solve for x

1. log

_{x}32 = 52. log

_{2}64 = xthankyou

how do I write these in logarithmic form?

1. 3^4 = 81

2. (1/2)^4 = 1/16

solve for x

1. log_{x}32 = 5

2. log_{2}64 = x

thankyou

Tutors, please sign in to answer this question.

Durham, NC

The rule to remember for going from exponent to logarithm is to remember that the base of the logarithm, is the base of the exponent (and vice versa). The other two numbers swap to other sides of the equals

So 3^4 = 81 becomes log_{3} 81 = 4.

Also log_{2}64 = X becomes 2^{X} = 64. So X=6.

John P.

Math, Science, Technology, and Test Prep Tutor

Fort Lee, NJ

5.0
(666 ratings)

James M.

Inquisitive PhD student of Math and Music at CUNY Graduate Center

Middle Village, NY

4.8
(100 ratings)

Sean B.

Premier NYC Math tutor - young, passionate and talented

New York, NY

4.8
(30 ratings)

- Algebra 2 3144
- Algebra 4541
- Math 8539
- Math Help 4830
- College Algebra 973
- Logarithmic Identities 1
- Logarithmic Functions 85
- Logarithmic Equation 73
- Calculus 2012
- Precalculus 1409