Which of the following is equivalent to log [125] 25 ?
1.076
3/2
2/3
2/5
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OpenStudy (mertsj):
Is 125 the base?
OpenStudy (lgbasallote):
quick question...have you tried the calculator?
OpenStudy (zepp):
Do you know the change of base formula?
OpenStudy (mertsj):
\[\log_{125}25=x \]
Put it in exponential form.
OpenStudy (mertsj):
Then rewrite 125 and 25 as powers of 5.
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OpenStudy (anonymous):
can cheat with change of base.
elsewise since
\[5^2=25\] and \[5^3=125\]
\[125^{\frac{2}{3}}=\sqrt[3]{125}^2=5^2=25\] so your answer is
\[\frac{2}{3}\]
OpenStudy (anonymous):
Thanks:)
OpenStudy (lgbasallote):
if you're gonna cheat then might as well do \[\log 25 \div \log 125\] @satellite73
OpenStudy (zepp):
Must read @lgbasallote's tutorial
OpenStudy (anonymous):
zacty what i meant. got a calculator, all you need is change of base and be done
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OpenStudy (anonymous):
course your calculator will give you something like \(.666667\)
OpenStudy (anonymous):
i know how to do it, i just dont want to... And i dont mean to be rude but if you dont want to help why comment?