## swiftskier96 Help!?!?!?!? 15. Write the equation in logarithmic form. 125^(4/3) = 625 one year ago one year ago

1. swiftskier96

15. Write the equation in logarithmic form. 125^(4/3) = 625

2. ParthKohli

\[\textbf{HINT}\]\[a^b=c \iff \log_a c = b\]

3. tkhunny

\(\log_{b}(a) = c \iff b^{c} = a\) Really, that's it. \(\log_{125}(625) = 4/3 \iff 125^{(4/3)} = 625\) It's not pretty, but there it is.

4. swiftskier96

So my answer would be log_125(625)?

5. Mertsj

Remember: The log is the exponent. So in your example, the log is 4/3. So we can write: \[\log = 4/3 \]

6. Mertsj

Now clearly the base is 125 so we can write: \[\log_{125}= 4/3 \]

7. Mertsj

That leaves only one place for the 625: \[\log_{125}625=4/3 \]

8. swiftskier96

Thanks!!! @Mertsj

9. Mertsj

yw