Question

5^x=24

Answer 1

Rewrite it in log form and plug it into your calculator
\[\log_{5}24=x\]

Answer 2

like this?
log(5*24

Answer 3

Do you know the change of base formula?

Answer 4

well, the cancellation rule you want is \( \huge log_aa^x = x\)

Answer 5

\[\log_{a}x=\frac{logx}{loga}\]

Answer 6

woops... a bit .. anyhow hehe

Answer 7

I don't know base formula.

Answer 8

I just gave it to you

Answer 9

does it say log a first?

Answer 10

try \[\ln 5^x = \ln 24\] then bring down the power x next to the ln to get this: \[x \ln 5 = \ln 24\]...now divide both sides by \[\ln 5\] to get the following: \[x = (\ln 24)/(\ln 5) \]...use your calculator to get the final answer.

Answer 11

I get 1.97 is that correct?

Answer 12

Yup!

Answer 13

well the whole answer is 1.974635869

Answer 14

That's correct!? the short one I take it?

Answer 15

Both are correct, do you know if they want a rounded answer?

Answer 16

it says to round the decimal places as needed

Answer 17

Then 1.975 should work

Answer 18

ok! thanks