Hi everyone.I need help about logarithmic functions.. find x without using a table log sub10 x
log(x) = y
what is it you are needing with the helping?
how to find x without using a table
x is an independant variable; there is nothing to find;
x = 3, x = 12, x = 16543463, x = .34, x = nothing 0 and below
ah sorry the given is lacking
log sub10 x=2
ahh lol in other words, logs point to exponents; log10(x) = 2 means: 10^2 = x
\[\log_{10} x=1 .....................means................x=10^{1}\]
or do you mean; what does log10(2) = ? then 10^? = 2
\[\log_{10} x=2\]
and for the record: "log" by itself means; log(base 10)
log(x) = 2
then 10^2 = x; x = 10*10 x = 100
amistre64 what if the base is not 10....
if it aint base 10 then we sullpy the base. say base 7 log7(x) = 2 7^2 = x 49 = x
logs point to exponents; they are inverses of each other
what if the given is like this lnx=ln2+ln3+ln
\[log_7(x)=2\] \[7^{log_7(x)}=7^2\] \[x = 7^2\] \[x = 49\]
lna + lnb = ln(ab)
can you explain further
\[ln(x)=ln1+ln2+ln3+...+lnk\] \[e^{ln(x)}=e^{ln1+ln2+ln3+...+lnk}\] \[x=e^{ln1}e^{ln2}e^{ln3}...e^{lnk}\] \[x=1*2*3*...*k\]
which ironically is: x = k!
what do you mean is equal to k? do we multiply it?
k is some arbitrary integer that we can count to; its real value is whatever number you stop at on the positive side of the number line
|dw:1316703630934:dw|
the answer in our book is 30.so it is just multiplied
but to be fair, k can be any real number greater than 0 and it still amounts to the multiplication of all the stuff
its just multiply the ln(innards) for that problem then yes
ln(x) = ln(3) + ln(5) + ln(17) x = 3*5*17
what if the given is like this 3 ln 2-ln 6+2 ln 3
- means divide in log talk
3 ln(2) would amount to ln(2^3) so just read it from left to right x = 2^3 / 6 * 3^2 ... and follow it in that order
ah so the whole number before the ln becomes an exponent?did get I it right?
ah so the whole number before the ln becomes an exponent?did get I it right?
hey amistre64 are you still there?
yes
since logs are exponents; they act in the same way .... if that makes sense
\[(B^4)^6=B^{4*6}=B^{24}\]
ah so the whole number before the ln becomes an exponent?did get I it right?
what does it mean?i don't understand
\[log_B(4^6)=6\ lob_B(4)\]
typoed it
it means that 3 ln(2) = ln(2^3)
ah so the whole number before the ln becomes an exponent?did get I it right?
ah ok.i understand now.thanks a lot for the help...i'll try to answer another problem then to test if i really got it.thanks again
youre welcome, good luck :)
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