Mathematics
10 Online
OpenStudy (anonymous):
Write the equation in logarithmic form.
2^5 = 32
A. log32 = 5 • 2
B. log232 = 5
C. log32 = 5
D. log532 = 2
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OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
Hint:
\[\Large b^x = y\]
converts to
\[\Large \log_{b}(y) = x\]
OpenStudy (anonymous):
that confused me a bit
jimthompson5910 (jim_thompson5910):
in your case, b is 2, x is 5 and y is 32
jimthompson5910 (jim_thompson5910):
do the proper replacements
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OpenStudy (anonymous):
log32 = 5 times 2??
jimthompson5910 (jim_thompson5910):
no
OpenStudy (anonymous):
o haha im so confused
jimthompson5910 (jim_thompson5910):
ex:
\[\Large 3^4 = 81\]
converts to
\[\Large \log_{3}(81) = 4\]
OpenStudy (anonymous):
how do i put that 3 in my calculator
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jimthompson5910 (jim_thompson5910):
\(\Large 3^4\) = 3 ^ 4
jimthompson5910 (jim_thompson5910):
and there's no need to use your calculator for this problem
OpenStudy (anonymous):
o ok
OpenStudy (anonymous):
so what am i doing lol
jimthompson5910 (jim_thompson5910):
you're just going from something like
\[\Large 3^4 = 81\]
to
\[\Large \log_{3}(81) = 4\]
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jimthompson5910 (jim_thompson5910):
except I used different numbers
OpenStudy (anonymous):
im 100% LOST
jimthompson5910 (jim_thompson5910):
\[\Large 3^4 = 81\] is in exponential form
\[\Large \log_{3}(81) = 4\] is equivalent, but its in logarithmic form
jimthompson5910 (jim_thompson5910):
that's all you're doing: converting from exponential form to logarithmic form
OpenStudy (anonymous):
my calculator wont let me do it error and idk how to do it without it
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jimthompson5910 (jim_thompson5910):
you don't need a calculator, all you're doing is rearranging the numbers
jimthompson5910 (jim_thompson5910):
the base becomes the base of the log
the exponent goes on the right side
the number that was on the left side goes inside the log
jimthompson5910 (jim_thompson5910):
|dw:1352153622344:dw|
becomes
|dw:1352153652596:dw|