Math Problem Statement

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

Solution

To rewrite the logarithmic expression log61296=4\log_6 1296 = 4 in exponential form, you use the definition of a logarithm:

logba=cis equivalent tobc=a\log_b a = c \quad \text{is equivalent to} \quad b^c = a

So, log61296=4\log_6 1296 = 4 becomes:

64=12966^4 = 1296

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

Here are some related questions for practice:

  1. Rewrite log216=4\log_2 16 = 4 in exponential form.
  2. Solve log3x=5\log_3 x = 5 for xx.
  3. Convert 25=322^5 = 32 into logarithmic form.
  4. What is log525\log_5 25 as an exponent?
  5. If 73=x7^3 = x, what is log7x\log_7 x?

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

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponents

Formulas

log_b a = c is equivalent to b^c = a

Theorems

Definition of logarithms

Suitable Grade Level

Grades 8-10