Question

I have another log question :o
Log3(x^2)=2log3(4) - 4log3(5)

Answer 1

latexed

\(log_3(x^2)=2log_3(4) - 4log_3(5)\)

is that right?

Answer 2

Yep, that's right!

Answer 3

by the laws of logs

log3 x^2 = log3 4^2 - log3 4^5

log3 x^2 = log3 (4^2 / 4^5)

can you continue?

Answer 4

How did you get 4^5? Isn't it 5^4?

Answer 5

** ooops sorry

that is 5^4 not 4^5

Answer 6

I got to where you are, and I understand it, but now I'm unsure of how to continue from there :o

Answer 7

this is easy now..

Answer 8

:/ Still not sure of how to proceed, sorry.

Answer 9

if a^x = a^y

what is the relation between x and y?

Answer 10

They're equal to each other, right?

Answer 11

yes

Answer 12

x^2 = 16/625?

Answer 13

yes

Answer 14

so the final answer is x=4/25, right? Just want to make sure.

Answer 15

right - what about -4/25?

Answer 16

catch question..

Answer 17

Since it's log, you can't have a negative answer..

Answer 18

...right?

Answer 19

why not put \(-\frac{4}{25}\) into the original equation....?

see if it works

you cruel man, @welshfella !!

Answer 20

i know!!