Please check my answers and let me know if i got any wrong. Thank you! Convert each log statement to exponential form and each exponential statement to log form.
(a) 5^-3= 1/125
Log(base5)(1/125)=-3
(b) ln2=.69315
2=e^.69315
(c ) 10^½ =3.16228
½log3.16228
(d) e^A+B=C
Log(base e)C=A+B
(e) 3^0=1
log(base 3)1=0
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jimthompson5910 (jim_thompson5910):
(a) and (b) are correct
jimthompson5910 (jim_thompson5910):
(c) is not correct (but there may be a typo)
jimthompson5910 (jim_thompson5910):
did you mean to say 1/2 = log 3.16228 ??? for (c)
OpenStudy (anonymous):
no typo on c….that was the one i was stuck on
OpenStudy (anonymous):
would 1/2 = log 3.16228 be the right answer for c?
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jimthompson5910 (jim_thompson5910):
yes that's correct
OpenStudy (anonymous):
did you happen to look at d & e?
jimthompson5910 (jim_thompson5910):
for d, is A+B the exponent?
OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
then you are correct
you can also say
ln(C) = A+B
since ln(x) = log(base e)(x)
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