Mathematics
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OpenStudy (anonymous):
True or false? The function f(x) = 5x is an exponential function. I think it is true just want to make sure
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jimthompson5910 (jim_thompson5910):
if the function is \[\large f(x) = 5^x\] then you'd be right
OpenStudy (anonymous):
thnx hb this one The function y = log2x is a logarithmic function.
OpenStudy (anonymous):
true or false
jimthompson5910 (jim_thompson5910):
you tell me
OpenStudy (anonymous):
true
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jimthompson5910 (jim_thompson5910):
yep because there's a log in there
OpenStudy (anonymous):
what about this one y = 6x is written as log6y = x
OpenStudy (anonymous):
true or false
jimthompson5910 (jim_thompson5910):
\[y = 6^x\] right?
OpenStudy (anonymous):
no y=6x
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jimthompson5910 (jim_thompson5910):
so x isn't the exponent?
OpenStudy (anonymous):
correct x is not an exponent
jimthompson5910 (jim_thompson5910):
ok so y = 6x is linear
so logs aren't involved at all
OpenStudy (anonymous):
so it is false
OpenStudy (anonymous):
this is wht it looks like
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jimthompson5910 (jim_thompson5910):
yes it's false
OpenStudy (anonymous):
ok thnx
jimthompson5910 (jim_thompson5910):
np
OpenStudy (anonymous):
is this one true
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OpenStudy (anonymous):
so it would be true
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
Write 7^x = 2401 as a logarithmic function.
jimthompson5910 (jim_thompson5910):
last one and you tell me
jimthompson5910 (jim_thompson5910):
use the definition you just used on the previous problem
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OpenStudy (anonymous):
logx^7 = 2401
???
jimthompson5910 (jim_thompson5910):
no what is the base of 7^x
OpenStudy (anonymous):
wat do u mean
jimthompson5910 (jim_thompson5910):
in any exponential expression, you have a base and an exponent
jimthompson5910 (jim_thompson5910):
what is the base of 7^x
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OpenStudy (anonymous):
7
jimthompson5910 (jim_thompson5910):
so that's the base of the log
OpenStudy (anonymous):
so it woul be
log24017 = x
OpenStudy (anonymous):
log2401^7 = x
jimthompson5910 (jim_thompson5910):
no
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jimthompson5910 (jim_thompson5910):
7 is the base of the log
jimthompson5910 (jim_thompson5910):
so you have it backwards
OpenStudy (anonymous):
logx2401 = 7
OpenStudy (anonymous):
?
jimthompson5910 (jim_thompson5910):
no you were closer last time
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OpenStudy (anonymous):
logx^7 = 2401
OpenStudy (anonymous):
?
jimthompson5910 (jim_thompson5910):
no it's
\[\large \log_{7}(2401) = x\]
OpenStudy (anonymous):
thnx
jimthompson5910 (jim_thompson5910):
np
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OpenStudy (anonymous):
Write log9729 = 3 in exponential form. is it 9^3