Rewrite the expression log Subscript 6 Baseline 1296 equals 4 in equivalent exponential form

To rewrite the logarithmic expression \( \log_6 1296 = 4 \) in exponential form, you use the definition of a logarithm:

\[
\log_b a = c \quad \text{is equivalent to} \quad b^c = a
\]

So, \( \log_6 1296 = 4 \) becomes:

\[
6^4 = 1296
\]

Let me know if you'd like more details or have any questions.

Here are some related questions for practice:

1. Rewrite \( \log_2 16 = 4 \) in exponential form.
2. Solve \( \log_3 x = 5 \) for \( x \).
3. Convert \( 2^5 = 32 \) into logarithmic form.
4. What is \( \log_5 25 \) as an exponent?
5. If \( 7^3 = x \), what is \( \log_7 x \)?

**Tip:** When converting between logarithmic and exponential forms, remember that the base of the logarithm becomes the base of the exponent.

Learn how to convert the logarithmic expression log_6 1296 = 4 into exponential form. This step-by-step guide demonstrates key logarithmic and exponential concepts, applying the formula log_b a = c is equivalent to b^c = a. Ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation