Question

What is the solution of the equation 2log_4(5x) = 3?

Answer 1

@ganeshie8

Answer 2

Ah okay. So, log rules. \[a \log b = \log b^{a}\] and \[(\log_{4} a = b) = (a = 4^b)\]
Can you try to figure it out with these?

Answer 3

You want to try and isolate 5x :)

Answer 4

Okay.
5x^2 = 4^3
?

Answer 5

Yes. Keep going.

Answer 6

\[x = \sqrt{64/5}\]

Answer 7

Hm. No. Ah I see what you did: \[(5x)^2 = 25x^2\] first.

Answer 8

Do you have the answer? @NY,NY

Answer 9

Haha you have 1 tiny mistake.

Answer 10

x = 8/5 *

Answer 11

Yep! Good job!

Answer 12

Thank you :) @jojokiw3

Answer 13

No problem. ^-^