Math Problem Statement

antilog(1.42e1)

Solution

To calculate the antilogarithm (antilog) of a number, we reverse the logarithm operation. When you see "antilog," it typically means using the base 10 by default, unless otherwise specified.

Given the number 1.42e11.42e1, it is represented in scientific notation as:

1.42×101=14.21.42 \times 10^1 = 14.2

The antilogarithm of 14.214.2 in base 10 is calculated as:

antilog10(14.2)=1014.2\text{antilog}_{10}(14.2) = 10^{14.2}

Let's compute this value.The antilogarithm of 1.42e11.42e1 (or 14.2) in base 10 is approximately:

antilog10(14.2)1.584×1014\text{antilog}_{10}(14.2) \approx 1.584 \times 10^{14}

Would you like more details or have any other questions?

Here are some related questions you might find interesting:

  1. What is the antilog of a negative number?
  2. How do you compute antilogarithms in different bases?
  3. What is the relationship between logarithms and exponents?
  4. How does the natural antilogarithm differ from the base 10 antilogarithm?
  5. How do you solve equations involving antilogarithms?

Tip: Remember that the antilogarithm is the inverse operation of a logarithm, meaning it "undoes" the logarithm.

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Math Problem Analysis

Mathematical Concepts

Logarithms
Antilogarithms

Formulas

Antilogarithm formula: antilog(x) = 10^x (base 10)

Theorems

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Suitable Grade Level

Advanced