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do you know how to convert bases?

no ;(

here, 10 is called the base.

so log10 13 = 1.114 This means that logarithm of 13 to the base 10 is 1.114

but im doing log 9?

13 can also be expressed as 2 to the power 3.7004. which means log 2 13 = 3.7004

would log9 be converted to 3?

3?

following the logic of that link, we can say that log9 27 = log3 27/ log3 9

now, what is log3 27?

so i was rite?

no.

ugh.

answer my question. what is log3 27?

explain it in plain english for now.

9?

its harrd. okay, we would put log3/log3 27?

do you understand the meaning of logs? I posted it earlier. READ through it.

it is not hard at all.

what is 4 to the power 2?

2?

oh yah okay thats simple

so give me the answer. what is 4 raised to the power 2?

4^2

right, what is the value of 4^2? 4^2 = 4*4 right? what is 4*4?

16

just give me the number. Use your calculator.

right. okay great!. what is 4 raised to the power 3?

4^3

i know my powers mister

thats good to know. I am asking the value of 4^3.

48

it is 64.

i multiplyed it wrong. sorry

find the number in the middle?

I want you to express the number 32 as a power of 4. Can you do it?

what if I wanted 17 as a power of 4, or 18?

ya 4 times 8

no

what is the value of log base 5 512

without calculator

you cant? it would be in a decimal rite?

exactly! you are on the right track margaret! very well done!

thankyou!

idk sathiprakash

ok.

right

do you have a calculator, margaret?

right so it would turn into a decimal

i can get it

okay doesnt matter. use google. it has a calculator built in. paste this exactly. 4^2.5

just copy paste that in google.

=32

great! so you see? any number can be expressed as a power of 4!

even my problem log9 27

So we call 4 the base. similarly in your problem, the base is 9.

so we need to find what power we need to raise 9 to get 27.

so it will convert to 3

so what power do you need to raise 3 to get 27? do you know?

what is 3^3?

9?

no, try again.

wait no its 3

no. 3^3 = 3*3*3 correct?

yes

so what is 3 times 3 times 3?

27

great! so what is log3 27? In other words, what power do you need to raise 3 in order to get 27?

very good! so then by the same logic, what is log3 9?

27

so, try again. what does log3 9?

2?

very good!

so what is log3 27 / log3 9?

3/2

good. so your answer is 1.5. now go ahead and check your answer. see if 9^1.5 is 27

go on, type it in google.

it is

thankyou very much

you are welcome. I hope you understood the meaning behind logs and powers and bases.

yes sir i do now

alright i will

okay. good. bye now.

go ahead, take a medal then.