Math  /  Algebra

QuestionWrite the given equation in logarithmic form. 74=2,4017^{4}=2,401 log42,401=7\log _{4} 2,401=7 log32,401=7\log _{3} 2,401=7 log32,401=4\log _{3} 2,401=4 log72,401=4\log _{7} 2,401=4

Studdy Solution

STEP 1

1. We are given an exponential equation and need to convert it into its equivalent logarithmic form.
2. The base of the logarithm will be the base of the exponent in the exponential equation.

STEP 2

1. Identify the base, exponent, and result in the given exponential equation.
2. Write the equivalent logarithmic form using the identified components.

STEP 3

Identify the components of the exponential equation 74=2,4017^{4} = 2,401.
- Base: 77 - Exponent: 44 - Result: 2,4012,401

STEP 4

Write the equivalent logarithmic form using the identified components:
The logarithmic form is log72,401=4\log_{7} 2,401 = 4.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord