For questions 1-2, convert to logarithmic equations. For example, the logarithmic form of "2^3 = 8" is "log ^2 8 = 3".

1. 9 ^(3/2) = 27
2. e^x = 7

Show your work, please. :)

Question

For questions 1-2, convert to logarithmic equations. For example, the logarithmic form of "2^3 = 8" is "log ^2 8 = 3".    

1. 9 ^(3/2) = 27
2. e^x = 7

Show your work, please. :)

anonymous · Answer

make the replacements in $b^x=y\iff \log_b(y)=x$

anonymous · Answer

$$b ^{x}$$ = y then 9$$^{3/2}$$ = 29 = log$$_{9}$$(29) = 3/2?

anonymous · Answer

$9^{\frac{3}{2}}=27$ here $b=9, x =\frac{3}{2}, y =27$ so logarithmic form is 
$$\log_9(27)=\frac{3}{2}$$

anonymous · Answer

That's what I tried to type but I'm pretty new to this site and can't figure out how to format correctly. I'm sorry.  It would be log^9 (27) = 3/2.  I don't know why I typed 29.  Thanks for your help!!

anonymous · Answer

yw

anonymous · Answer

second one you could write $\log_e(7)=x$ but instead write $\ln(7)=x$ because ln means log base e