Math Problem Statement
Solve the equation.
log(x) = 4
x =
Solution
To solve the equation:
we need to rewrite this in exponential form. The equation means:
Now, calculating :
So, the solution is:
Would you like further explanation on logarithmic transformations?
Here are some related questions to explore:
- What if ? What would be?
- How would you solve instead of ?
- What are some real-world applications of logarithmic equations?
- How does changing the base of the logarithm affect the solution?
- How would you solve an equation like ?
Tip: Remember that typically implies base 10 if no base is specified, while implies base .
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Math Problem Analysis
Mathematical Concepts
Algebra
Logarithmic Equations
Exponential Functions
Formulas
log(x) = y implies x = 10^y
Theorems
Definition of Logarithmic and Exponential Relationship
Suitable Grade Level
Grades 9-12