Question

Multiple Choice
Solve the exponential equation. (125^7x-2)=150
A) -0.1375
B) 2.1483
C) 0.4234
D) 0.4340

Answer 1

do you know where to start?

Answer 2

\[(125^{7x}-2)=150\] is this the question?

Answer 3

take log from both sides & the 7x-2 is the exponent.

Answer 4

I don't know what to do after I do the log on both sides..

Answer 5

take log base 125 to each side

Answer 6

start with that.. so you get 7x-2 on the left and log(150)/log(125) on the other side

Answer 7

add 2 to each side.. so you get 7x=2+log(150)/log125)

Answer 8

with me?

Answer 9

yes

Answer 10

solve for x.

Answer 11

i should have typed ln instead of log .. sorry

Answer 12

did you figure it out?

Answer 13

"take log base 125 to each side" if you do this, you'll have to use the change of base formula later... this is more work. Just take ln or log of both sides.

Answer 14

sorry i meant to type that instead of log base ... haha sorry again

Answer 15

You good lol I got = 0.4340

Answer 16

x=2/7+(ln(150))/(7ln(125))

Answer 17

b-i-n-g-0 !!

Answer 18

good luck!

Answer 19

(7x-2) * log(125) = log(150)
divide both sides by log(125)
7x - 2 = log(150) / log(125) = 1.0378
Add 2 to both sides
7x = 3.0378
divide both sides by 7
x = 3.0378 / 7 = 0.4340 my work lol

Answer 20

Thank you !(:

Answer 21

^very good work