Antilog of 35.35
Understand the Problem
The question is asking for the antilogarithm of 35.35, which involves calculating the number that corresponds to this logarithmic value by raising 10 to the power of 35.35.
Answer
The antilogarithm of 35.35 is approximately $2.238 \times 10^{35}$.
Answer for screen readers
The antilogarithm of 35.35 is approximately:
$$ 2.238 \times 10^{35} $$
Steps to Solve
-
Identify the antilogarithm operation To find the antilogarithm of a number, we use the formula: $$ antilog_b(x) = b^x $$ where $b$ is the base of the logarithm (in this case, 10) and $x$ is the logarithmic value (35.35).
-
Substituting the values Substitute $b = 10$ and $x = 35.35$ into the formula: $$ antilog_{10}(35.35) = 10^{35.35} $$
-
Calculate the antilogarithm Now, we need to calculate $10^{35.35}$. This can be done using a scientific calculator or a computer.
The antilogarithm of 35.35 is approximately:
$$ 2.238 \times 10^{35} $$
More Information
The antilogarithm essentially "undoes" the logarithm to give you the original number. In this case, finding $10^{35.35}$ illustrates how large numbers can be derived from logarithmic values.
Tips
- Forgetting the base: Always remember to use the correct base (10 for common logarithm).
- Misinterpreting the exponent: Ensure correct and accurate calculations when working with exponents, as even small errors can lead to significantly different results.
AI-generated content may contain errors. Please verify critical information
