Question

25^(1/2)=5
convert to logarithmic equation
log(25)___=___

Answer 1

log(25)=2 x log(5)

Answer 2

when you log something it brings down the exponent such that 1/2 x log (25) =log (5)

Answer 3

\[b^x=y\iff \log_b(y)=x\]

Answer 4

multiply both sides by 2 and you get log (25)=2 log(5)

Answer 5

i think you are supposed to fill in the blanks as follows
\[\log_{25}(5)=\frac{1}{2}\]

Answer 6

that's the format I was looking for. thanks you both:)

Answer 7

yw

Answer 8

btw if you do these often you should get used to going from
\[b^x=y\] to
\[\log_b(y)=x\] quickly and with ease

Answer 9

great! that's useful for sure

Answer 10

I'll need to practice that..

Answer 11

\[log_b(a) = k \iff b^k = a\]
The \(\iff\) symbol means you can go back and forth from the left side to the right. Each side means the same thing as the other.

Answer 12

basically the same as what an equals sign says, no?

Answer 13

Not quite.

Answer 14

You cannot say that \[log_b(a) = k = b^k = a\]
Because \(log_b(a) \) doesn't equal \(a\)

Answer 15

okay, I'm beginning to see this...

Answer 16

\[2^4=16\iff \log_2(16)=4\]
\[\log_{10}(1000000)=6\iff 10^x=1000000\]
\[\log(.01)=-2\iff 10^{-2}=.01\]
\[8^{\frac{2}{3}}=4\iff \log_8(4)=\frac{2}{3}\]