Math Problem Statement
Translate the logarithmic statement into an equivalent exponential statement.
log Subscript 4 Baseline 256log4256equals=44
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Part 1
The equivalent exponential equation is
enter your response here.
(Use integers or decimals for any numbers in the equation.)
Solution
To translate the logarithmic statement into an equivalent exponential statement, let's first break down the given logarithmic expression:
This means that the logarithm of 256 with base 4 equals 4. In exponential form, this statement is rewritten as:
So, the equivalent exponential equation is:
Would you like further clarification or details on logarithms and exponents?
Here are 5 related questions to expand on this concept:
- What is the general form for converting a logarithmic expression into exponential form?
- How do you evaluate logarithms without a calculator?
- What is the logarithm of a number when the base equals the number itself?
- How can you express in exponential form?
- What are the properties of logarithms that make them useful in solving equations?
Tip: To check if you have the correct logarithmic or exponential form, always remember that means .
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Math Problem Analysis
Mathematical Concepts
Logarithms
Exponential Functions
Formulas
log_b(x) = y ↔ b^y = x
Theorems
Exponential-Logarithmic Relationship
Suitable Grade Level
Grades 8-10
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