Solve. log, (t) = 4 %3D

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem:**

Solve the equation:

\[ \log_6(t) = 4 \]

**Solution:**

We need to find the value of \( t \).

Using the definition of a logarithm, convert the logarithmic equation to its exponential form:

\[ t = 6^4 \]

Calculate \( 6^4 \):

\[ 6^4 = 1296 \]

Therefore, \( t = 1296 \).

**Input Box:**

\[ t = \underline{\quad} \]

**Next Steps:**

Click the "Next Question" button to proceed to the following problem.
Transcribed Image Text:**Problem:** Solve the equation: \[ \log_6(t) = 4 \] **Solution:** We need to find the value of \( t \). Using the definition of a logarithm, convert the logarithmic equation to its exponential form: \[ t = 6^4 \] Calculate \( 6^4 \): \[ 6^4 = 1296 \] Therefore, \( t = 1296 \). **Input Box:** \[ t = \underline{\quad} \] **Next Steps:** Click the "Next Question" button to proceed to the following problem.
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