Question

Log8 x=2/3

Answer 1

When viewing an equation like this, remember that the base of the log is the number which has a power attached to it, and what the log is equal to is the power.

Loga x=b (is the same as) a^b=x

Answer 2

okk

Answer 3

You understand how to take it from here?

Answer 4

not really can you go over it with me so i dont make a mistake???

Answer 5

8^x2/3

Answer 6

i dont really get the logarithm

Answer 7

The logarithm is an easy way to find something like 8^x=64.
It's pretty easy to look at this and say x is 2 but there isn't a way to find 2^x = 1024 without using a calculator, and instead of guessing and checking, all you need to do is make it log(base 2) 1024 = x and it will solve it for you. I believe it's 10.

Answer 8

to tell you the truth i dont get nothing that has to do with logarithm

Answer 9

but the one i have is really different than 8^x=64
is log8 X=2/3

Answer 10

The base of a log is the base of the exponent, the number the log is equal to is the exponent, and the number attached to the log is the "answer" if it wasn't in log form.

Answer 11

with that said you mean that the answer is log 8^2/3

Answer 12

The way to get the answer when the variable is in the b position of log(base a) b = x
Is to take the a value, set the x to the power of a, and solve for b, your variable.

Answer 13

log(base a) b = x
is the exact same equation as
a^x = b

Answer 14

1. Take logs of both sides, when you do, you'll have

x log(8) = log(2/3)

2. divide both sides by log(8) to isolate x:

x = log(2/3) over log(8)

If you want an approximate result, use a calculator.

Answer 15

thank you Hero