Math Problem Statement
Log3 (x+1)=2
Solution
We are given the equation:
To solve this, we can rewrite the equation in its exponential form. The logarithmic equation is equivalent to the exponential form . So:
Simplifying the right-hand side:
Now, subtract 1 from both sides to isolate :
Thus, the solution is:
Would you like more details or have any questions about the steps? Here are some related questions:
- How can you solve logarithmic equations with different bases?
- What is the inverse of a logarithmic function?
- How do you check the solution of a logarithmic equation?
- Can you solve a similar equation with a negative value inside the logarithm?
- How do logarithmic and exponential functions relate to each other?
Tip: Always check that the argument of the logarithm (inside the parentheses) is positive, as logarithms are undefined for non-positive numbers.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Exponential Equations
Formulas
log_b(a) = c → a = b^c
Theorems
Logarithmic to Exponential Conversion
Suitable Grade Level
Grades 8-10