menu

arrow_back How do you evaluate a logarithm?

by Bronze Status
(7,476 points)
in Mathematics
82 views
How do you evaluate a logarithm?

1 Answer

Best answer
0 like 0 dislike
 
Best answer
Many logarithms may be calculated by converting them to exponential form. Suppose we want to calculate the value of \(\log _{2}(16)\). Start by writing this expression as a logarithmic form,
\[
\log _{2}(16)=?
\]
We could write the output with a variable, but a question mark suffices to indicate what we want to find. If we convert this form to an exponential form with a base of 2 ,
\[
2^{?}=16
\]
The left-hand side may be written with the base 2 as \(2^{4}\). Substitute this expression in place of 16
\[
2^{?}=2^{4}
\]
Since the exponent on the left side must be 4, this is also the value in the original exponential form,
\[
\log _{2}(16)=4
\]
by Bronze Status
(7,476 points)

Related questions


Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
How do you evaluate $\lim_{x \rightarrow 0} {\dfrac{\sqrt{4+x} - 2} {3x}}$
0 answers 106 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
How do you solve $\dfrac{1}{2\sqrt{2x-5}-1}{2\sqrt{3x+4}}=-1$?
1 answer 176 views
How do you solve $\dfrac{1}{2\sqrt{2x-5}-1}{2\sqrt{3x+4}}=-1$?How do you solve $\dfrac{1}{2\sqrt{2x-5 }-1}\cdot{2\sqrt{3x+4}}=-1$? ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Feb 20, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate \(\sqrt{x^{2}+y^{2}+1}=?\)
1 answer 59 views
Evaluate \(\sqrt{x^{2}+y^{2}+1}=?\)\begin{aligned} &x^{2}=17 x+y \\ &y^{2}=x+17 y \\ &x \neq y \\ &\sqrt{x^{2}+y^{2}+1}=? \end{aligned} ...
by Pieter Gold Status
(31,957 points)
asked in Mathematics May 6
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate this Limit Using Simplification
1 answer 73 views
Evaluate this Limit Using SimplificationEvaluate this Limit Using Simplification $$\lim _{x \rightarrow-2} \frac{3 x^{2}+x-10}{x+2}$$ ...
by Pieter Gold Status
(31,957 points)
asked in Mathematics Jun 11, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate $\lim _{x \rightarrow 1}\left(\frac{y-4 \sqrt{y}+3}{y^{2}-1}\right)$
1 answer 213 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate $\lim _{x \rightarrow-4} \frac{x^{2}-16}{x+4} \ln |x|$
0 answers 144 views
Evaluate $\lim _{x \rightarrow-4} \frac{x^{2}-16}{x+4} \ln |x|$Evaluate $\lim _{x \rightarrow-4} \frac{x^{2}-16}{x+4} \ln |x|$ ...
by Student SIlver Status
(10,904 points)
asked in Mathematics May 10, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate $\lim _{x \rightarrow 10} \sqrt{-x^{2}+20 x-100}$
1 answer 162 views
Evaluate $\lim _{x \rightarrow 10} \sqrt{-x^{2}+20 x-100}$Evaluate $\lim _{x \rightarrow 10} \sqrt{-x^{2}+20 x-100}$ ...
by Student SIlver Status
(10,904 points)
asked in Mathematics May 10, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate $\lim _{x \rightarrow 10} f(x)$, where $f(x)=x^{2}$ for all $x \neq 10$, but $f(10)=99 .$
0 answers 168 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate $\lim _{x \rightarrow 10} \frac{x^{2}-100}{x-9}$
1 answer 271 views
Evaluate $\lim _{x \rightarrow 10} \frac{x^{2}-100}{x-9}$Evaluate $\lim _{x \rightarrow 10} \frac{x^{2}-100}{x-9}$ ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics May 10, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate $\lim _{x \rightarrow 10} \frac{x^{2}-99}{x-10}$
1 answer 303 views
Evaluate $\lim _{x \rightarrow 10} \frac{x^{2}-99}{x-10}$Evaluate $\lim _{x \rightarrow 10} \frac{x^{2}-99}{x-10}$ ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics May 10, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate $\lim _{x \rightarrow \infty}\left(\frac{2 x^{2}-2 x-3}{x^{2}-1}\right)$
1 answer 109 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate $\lim_{x \rightarrow -\infty}\dfrac{1}{2x^3}$
1 answer 178 views
Evaluate $\lim_{x \rightarrow -\infty}\dfrac{1}{2x^3}$Evaluate $\lim_{x \rightarrow -\infty}\dfrac{1}{2x^3}$ ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Apr 12, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate $\lim_{x \to \infty } \left ( \frac{2x^{2}-2x-3}{x^{2}-1} \right ) $
1 answer 176 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate the limit $\lim_{x\rightarrow 0}{(e^x+3x)}^{\dfrac{1}{x}} $?
0 answers 137 views
close

Q&A | Subjects | Request Private Tutor | eBook


Join the MathsGee Support Club where you get study and financial support for success from our community. LEARN - CONNECT - EARN


On the MathsGee Support Club, you can:


1. Ask questions


2. Answer questions


3. Vote on Questions and Answers


4. Tip your favourite community member(s)


5. Create Live Video Tutorials (Paid/Free)


6. Join Live Video Tutorials (Paid/Free)


7. Earn points for participating



Posting on the MathsGee Support Club


1. Remember the human


2. Behave like you would in real life


3. Look for the original source of content


4. Search for duplicates before posting


5. Read the community's rules




Q&A RULES


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on how many posts we receive, you could be waiting up to 24 hours for your post to appear. But, please be patient as posts will appear after they pass our moderation.


Q&A | Subjects | Request Private Tutor | eBook


MathsGee Tools

Math Worksheet Generator

Math Algebra Solver

Trigonometry Simulations

Vectors Simulations

Matrix Arithmetic Simulations

Matrix Transformations Simulations

Quadratic Equations Simulations

Probability & Statistics Simulations

PHET Simulations

Visual Statistics

Q&A | Subjects |Request Private Tutor | eBook