Waste less time on Facebook — follow Brilliant.
×

Logarithm Value

I need your help

Why \(\log_{10}(2)\) is equal to \(0.30102999566...\). Please I need explanation for this how come the answer is \(0.30102999566...\) Thanks.

Note by For Teich
1 year, 3 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

Because \(10^{0.30102999566...}=2\) i.e \(10^0 \approx 2^1, \space 10^3 \approx 2^{10}, \space 10^{30} \approx 2^{100}, \space 10^{30103} \approx 2^{100000}\) etc.

Wen Z - 1 year, 3 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...