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Need to log someone OFF my site! HELP!!!!!!!


Click the little gear icon in the upper-right then click "Log Out."

Jan 23, 2014 | Facebook Social Network

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2log(base4)x + log(base4)3=log(base4)x-log(base4)2


Hi,
It is easier to use the rules for logarithms to clean this equation before trying to solve it. And the calculator is no help here.
Let me represent the logs as follows log b in base a = log(a,b). The first argument is the base.

2*log(4,x) - log(4,3)= log(4,x)- log(4,2)

Here you have two similar terms 2*log(4,x) on the left and log(4,x) on the right. Gather them both on the same side, say the left. You have

2*log(4,x) -log(4,x) +log(4,3) = log(4,x)-log(4,x) -log(4,2)

which is equivalent to log(4,x) +log(4,3) = -log(4,2)

Gather the constant terms on the right, and use log(a) +log(b)=log(a*b)

log(4,x) = -log(4,2) -log(4,3) = - { log(4,2)+log(4,3)} = -log(4,2*3)

You get log(4,x)= -log(4,6).

Take the constant term to the left, while changing its sign in the process. On the right remains 0, which is also the log of 1 in any base So log(4,x)+log(4,6) =0 =log(4,1)

Use the rule log(a) +log(b) = log(a*b) valid in any base, to obtain
log(4,6x)=log(4,1) which is equivalent to 6x=1. The solution is x=1/6

There are a few other shortcuts to get the solution but I preferred to take a pedestrian, step by step, approach.

Hope it helps.


Nov 25, 2009 | Casio FX-300MS Calculator

2 Answers

I need help with a change of base formula problem.


It's simple here some logs:

log x base y = log x / log y
log (x*y) = log x + log y
log (x/y) = log x - log y
you just need to know that the default base of log in calculators is 10, so log x mean
log x base 10 = log x / log 10,
so write log x / log y for log x base y example:
log 8 base 2 = log 8 / log 2 that is how you write it on calculator, hope it was helpful

Jul 01, 2009 | Texas Instruments TI-83 Plus Calculator

2 Answers

How do you input a logarithm base into the ti83 plus?


You can't it's default 10 so learn this logs:
log x base y = log x / log y
log (x*y) = log x + log y
log (x/y) = log x - log y
so just divide the logs
hope it helps

Jun 28, 2009 | Texas Instruments TI-83 Plus Calculator

1 Answer

How to calculate


It's very simple: the calculators have a default base 10 so that log x it's log x base 10 so here is some logs:
log x base y = log x / log y
log (x*y) = log x + log y
log (x/y) = log x - log y
Hope it's helped

Apr 09, 2009 | Sharp EL-520WBBK Calculator

1 Answer

To solve the problem using log


Look the calculators has a default base 10 and you can't change it but you may learn this:
log x base y = log x / log y
log (x*y) = log x + log y
log (x/y) = log x - log y
so instead input log 8 base 2 you need to input log 8 / log 2
your example answer is about 0.919... if i get right what did you write.
Glad to help :)

Feb 21, 2009 | HP 33s Calculator

1 Answer

Find log(1-.2)


I don't get it but here some help with logs:
log x base y = log x / log y (when log x is default base 10 in calculators) and
log (x*y) = log x + log y
log (x/y) = log x - log y
the bases is default 10
hope it's helped

Feb 05, 2009 | Casio FX-300MS Calculator

1 Answer

Using logs


Here something that would help you:

log x base y = log x / log y
log (x*y) = log x + log y
log (x/y) = log x - log y

so log 24 base 2 it's log 24 / log 2 etc.
and if i get right what you wrote x= 10 ^ ( 3 * (log 5) ) if no inverse it it's easy really Hope it's helped you.

Oct 23, 2008 | Casio FX-260 Calculator

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