Question

7^x = 124
Help! I have an entire homework sheet of these things and it makes no sense to me =(

Answer 1

me 2 i hate homework :\

Answer 2

Change of base formula
log124/(log7) = 2.48

Answer 3

a^x = b


x = log(b)/loga

every time.

Answer 4

\[b^x=A\iff x=\frac{\ln(A)}{\ln(b)}\]

Answer 5

satellite always goes Au Naturale.. only natural logs whenever he answers

Answer 6

ok so what happens when they give you one of these things?
3log6 (x+1) = 9

Answer 7

asking who?

Answer 8

anyone.

Answer 9

is it base 6?

Answer 10

yes

Answer 11

\[\log_{6} (x + 1) = 9/3 = 3\]

Answer 12

(x+ 1) = 6³

Answer 13

x+ 1 = 216; x = 215

Answer 14

woah! thank you! That makes sense.
So the next one
log(base)5 x = 3
does that become x = 3^5
x = 243 ?

Answer 15

ah! 5^3 nvm

Answer 16

Ok I'm lost again. log(base5) 2x-5 = -4

Answer 17

5^ -4 = 2x - 5

Answer 18

what?

Answer 19

that's not right

Answer 20

Whoops, mistyped...

Answer 21

raising the base to both sides:
\[5^{\log_5(2x-5)} = 5^{-4}\]\[2x-5=\frac{1}{5^4}\]\[2x=5+\frac{1}{5^4}\]\[x=\frac{1}{2}(5+\frac{1}{5^4}) = \frac{1563}{625}\]

Answer 22

Instead of touching your nose straight from the front you are touching it from around your head.

Answer 23

Mathematician reducing everything to a previously solved problem.

Answer 24

\[\log_{a} B = X \space means \space a ^{X} = B\]

Answer 25

Different people find different explanations of equivalent statements useful.

Answer 26

woah
gimme a sec here. I'm getting lost in a sea of numbers and letters.

Answer 27

ok I think I got it (thank you guys btw!)
So 3 (5)^2x-3 = 6
5^2x -3 = 2
2x -3 = log2 /log 5
am I on the right track yall?

Answer 28

yes

Answer 29

then add three and divide by 2 and you are done

Answer 30

PRAISE JESUS!!!! I love you people. Seriously like half of my GPA is due to you guys.