FAN AND MEDAL!

Question

FAN AND MEDAL!

anonymous · Answer

Write log4 14 as a logarithm of base 3.

thesmartone · Answer

$\bf\huge~~~~\color{#ff0000}{W}\color{#ff2000}{e}\color{#ff4000}{l}\color{#ff5f00}{c}\color{#ff7f00}{o}\color{#ffaa00}{m}\color{#ffd400}{e}~\color{#bfff00}{t}\color{#80ff00}{o}~\color{#00ff00}{O}\color{#00ff40}{p}\color{#00ff80}{e}\color{#00ffbf}{n}\color{#00ffff}{S}\color{#00aaff}{t}\color{#0055ff}{u}\color{#0000ff}{d}\color{#2300ff}{y}\color{#4600ff}{!}\color{#6800ff}{!}\color{#8b00ff}{!}\\bf ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Made~by~TheSmartOne$ Hey there!!! Since you are new here, read this legendary tutorial for new OpenStudiers!! http://goo.gl/5pp1u0 @sallyfield888 Do you know the Change of Base formula for logarithms?

thesmartone · Answer

And is your question

$\sf\Large log_{4}14$

anonymous · Answer

yes that is the question

anonymous · Answer

what is the Change of Base formula for logarithms?

thesmartone · Answer

$\sf\Large Log_{a}x$

 can be written as

$\sf\LARGE\frac{log_{b}x}{log_{b}a}$

where $\sf a\neq1$ and where $\sf b\neq1$ and $\sf x>0$

anonymous · Answer

ok so what do i do next? can u walk me through the steps?

thesmartone · Answer

You need to make b = 3

and then just plug in the numbers you were given.

anonymous · Answer

so it would be log3 14/log3 4 ? check

thesmartone · Answer

Correct.

amorfide · Answer

can I ask how you derive that rule? I have never seen that rule in my life, kind of interested

anonymous · Answer

Write log6 5 as a logarithm of base 4.

thesmartone · Answer

@amorfide I don't know how you would derive that rule, but I was taught that rule in school when I learned the loagarithm chapter. Here is a little more over it: http://www.purplemath.com/modules/logrules5.htm http://www.sosmath.com/algebra/logs/log4/log43/log43.html

anonymous · Answer

Write log6 5 as a logarithm of base 4.

check is answer: log5 4/log6 4

thesmartone · Answer

$\color{blue}{\text{Originally Posted by}}$ @TheSmartOne
$\sf\Large Log_{a}x$

 can be written as

$\sf\LARGE\frac{log_{b}x}{log_{b}a}$

where $\sf a\neq1$ and where $\sf b\neq1$ and $\sf x>0$
$\color{blue}{\text{End of Quote}}$

Follow this, so no your answer is wrong.

anonymous · Answer

log4 6/log4 5 is the answer check its right

thesmartone · Answer

Nope. Look at it carefully. 

Remember, your question is $\sf\Large log_{6}5$

anonymous · Answer

log4 5/log4 6 it has be log4 right

thesmartone · Answer

Now you have gotten it correct :)

anonymous · Answer

good i knew 
Solve log11 (y + 8) + log11 4 = log11 60.