What is the solution to the equation log2 x + log2 4 = 3 ?
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OpenStudy (anonymous):
x = 2
x = 128
x = 32
x = 1/2
OpenStudy (helder_edwin):
if you equation
\[ \LARGE \log^2x+\log^24=3 \]
or
\[ \LARGE \log_2x+\log_24=3 \]
OpenStudy (anonymous):
it's the second @helder_edwin .
Answer is x = 2
OpenStudy (anonymous):
the bottom one
OpenStudy (anonymous):
how did you get tht?
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OpenStudy (helder_edwin):
OK do you want the work or the answer.
@Diogo gave you the answer
OpenStudy (anonymous):
i want the work
OpenStudy (helder_edwin):
OK you have
\[ \LARGE 3=\log_2x+\log_24=\log_2x+\log_22^2=\log_2x+2 \]
do u get it?
OpenStudy (anonymous):
put everything in log10 form.
example:
log(x)/log(2) + 2 = 3
log(x) = log(2)
x = 2
OpenStudy (anonymous):
ohh okay i got it ! you guys explain it better then my book
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OpenStudy (campbell_st):
\[\log _{2}4 = \log _{2} 2^2 = 2\]
so the equation is
\[\log _{2} x + 2 = 3... or ... \log _{2 } x = 1\]
using the log law
\[\log _{a}b = c ........ a^{\log _{a} b} = a^c ... or.... b = a^c\]
then \[x = 2^1\]
or x = 2