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Help!?!?!?!?
15. Write the equation in logarithmic form.
125^(4/3) = 625
 one year ago
 one year ago
Help!?!?!?!? 15. Write the equation in logarithmic form. 125^(4/3) = 625
 one year ago
 one year ago

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swiftskier96Best ResponseYou've already chosen the best response.0
15. Write the equation in logarithmic form. 125^(4/3) = 625
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
\[\textbf{HINT}\]\[a^b=c \iff \log_a c = b\]
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.0
\(\log_{b}(a) = c \iff b^{c} = a\) Really, that's it. \(\log_{125}(625) = 4/3 \iff 125^{(4/3)} = 625\) It's not pretty, but there it is.
 one year ago

swiftskier96Best ResponseYou've already chosen the best response.0
So my answer would be log_125(625)?
 one year ago

MertsjBest ResponseYou've already chosen the best response.6
Remember: The log is the exponent. So in your example, the log is 4/3. So we can write: \[\log = 4/3 \]
 one year ago

MertsjBest ResponseYou've already chosen the best response.6
Now clearly the base is 125 so we can write: \[\log_{125}= 4/3 \]
 one year ago

MertsjBest ResponseYou've already chosen the best response.6
That leaves only one place for the 625: \[\log_{125}625=4/3 \]
 one year ago

swiftskier96Best ResponseYou've already chosen the best response.0
Thanks!!! @Mertsj
 one year ago
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