Question

Solve
5^(3x) = 2^(x^2-1)

Answer 1

is there an easy way? LOL

Answer 2

Is it this? \[5^{3x} = 2^{x ^{2}-1}\]

Answer 3

YUP!

Answer 4

Something is telling me to use logs...brb

Answer 5

YUP!

Answer 6

i kinda know how to do it.. but i was wondering if theres an easier way hehe

Answer 7

probably not

Answer 8

\[3xLN5 = (X^2-1)LN2 \] i think

Answer 9

probably not
\[(3x )\log (5) = (x ^{2}-1)\log(2)\]

Answer 10

log and LN is not the same thing?

Answer 11

You can use either one and it won't affect the answer

Answer 12

Wow you're right this one is a stubborn one

Answer 13

i figure it out

Answer 14

\[3xln5 = \ln(x^2)-\ln2\]

Answer 15

it looks like a quadratic

Answer 16

Yep it is a quadratic equation, the type that nightmares are made of hahahaha

Answer 17

omg I'm at this point now: \[\log(2)x^2 - 3(\log5)x - \log2 = 0\]

Answer 18

omg I do not want to plug that into the quadratic formula...no wonder you asked if there was an easier way...

Answer 19

haha YUP! thats what i got too

Answer 20

i plugged it in and its horrible

Answer 21

I'm asking other people to take a look at this lol

Answer 22

answer = 0.14 and 6.81 LOL