Math Problem Statement

Express the given equation in exponential form. log Subscript 6 Baseline 6equals1

Solution

The equation given is log66=1\log_6 6 = 1.

To express this in exponential form, we use the definition of logarithms:

logba=c\log_b a = c

This is equivalent to:

bc=ab^c = a

In your case:

  • b=6b = 6 (the base)
  • a=6a = 6
  • c=1c = 1

So, log66=1\log_6 6 = 1 can be rewritten in exponential form as:

61=66^1 = 6

Would you like more details or have any questions?

Here are 5 related questions:

  1. How would you express log28=3\log_2 8 = 3 in exponential form?
  2. What is the value of log101000\log_{10} 1000 in exponential form?
  3. How do you express log525=2\log_5 25 = 2 in exponential form?
  4. If logbb=1\log_b b = 1, what does this imply about the base bb?
  5. How would you express log101=0\log_{10} 1 = 0 in exponential form?

Tip: When converting between logarithmic and exponential forms, remember that the logarithm gives the exponent to which the base must be raised to get the number.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Logarithms
Exponential Functions

Formulas

\( \log_b a = c \)
\( b^c = a \)

Theorems

-

Suitable Grade Level

Grades 9-12