Question

Can you solve log(4k-5)=log(2k-1)? Also, can you show the steps on how to solve an equation like this? Thanks.

Answer 1

If \( \log a= \log b\) then \(a = b\).

Answer 2

(4k-5) and (2k-1).

Answer 3

Make them equal and solve for k.

Answer 4

So, it'd be
4k-2k=-1+5?

Answer 5

Correct. Now combine like terms on both sides.

Answer 6

Is it 3 then? My friend got 2 so i was confused.

Answer 7

Thanks anyways.

Answer 8

Sorry, I lost the connection for a while. I'm back now.

Answer 9

This line is correct.
4k-2k=-1+5

Now subtract 4k - 2k on the left side and add -1 + 5 on the right side:

2k = 4

Finally divide both sides by 2
k = 2

Answer 10

You're friend is correct. The answer is k = 2.