Question

solve 6^x=24

Answer 1

x= log 24 base 6

Answer 2

Some alien is repeatedly saying, “logarithms!”; I don't understand what he says.

Answer 3

me alien:D

Answer 4

its needs to be in decimal form

Answer 5

i got the answer that you have i just dont know how to get it into decimal form

Answer 6

you got fractions?

Answer 7

yes

Answer 8

possible answers are
30.84
1.77
0.56
0.23

Answer 9

1.77

Answer 10

is most probable one

Answer 11

@Bferg18 got it?

Answer 12

yes thank you

Answer 13

The number x that makes 6^x=24 true is called log(6) 24 (log with base 6 of 24).
To see that this is not so hard to get, you can make a guess:
6^1=6
6^2=36, so it must be 6^1.6 or something like that.

Now calculators can do this for you, but mostly, you cannot put the base in.
It would be nice if a calculator could do this:log(6, 24).
In a way it can, however, if you know the trick.
The trick is, the calculator does know about logs with another base, e.
The function is called ln. Allyou have to do now is type in: ln(24)/ln(6).
You will get this: 1.7737...see? just over 1.6, as we already geuessed!

Just remember the first line of my answer; logs are not THAT difficult!

Answer 14

@ZeHanz thanks

Answer 15

@Varunkumar6 : together, we will succeed explaining logs!

Answer 16

@ZeHanz ha ha. thanks pal