Question

Change the exponential equation to an equivalent equation involving a logarithm

2401=7^4

Answer 1

\[b^k = a \iff log_ba = k\]

The arrows mean you can go back and forth from one to the other.

Answer 2

In your example here you have:
\[7^4 = 2401 \iff ?\]

Answer 3

i realize they are equal because 7^4=2401. I am not sure how to write it in logarithmic form

Answer 4

I'm not saying anything about their equality.

Answer 5

Look at what I wrote above. It explains how to go back and forth from exponential to logarithmic forms:

\[b^k = a \iff log_ba = k\]

Answer 6

The arrows indicate that you can alternate between one form and the other. They both mean the same thing.

Answer 7

Perhaps it's hard to make out that those are arrows.. I'll make em bigger:
\[\huge b^k = a \iff log_ba =k \]

Answer 8

In your case 'b' is 7, 'k' is 4, and 'a' is 2401

Answer 9

Did you figure it out?

Answer 10

If the letters confuse you I can use numeric examples.

Answer 11

Yes i understood all that thank you very much. I just get confused on final answers. i do my homework online so if i make mistakes it wont give me credit

Answer 12

if i put in the wrong form

Answer 13

I put log[7]^2401=4 as final answer

Answer 14

That's correct.
\[log_7(2401) = 4\]

Answer 15

Thank you =)