Question

ln8x=4 ?

Answer 1

Yes

Answer 2

\[ln(8x) = 4 \iff e^4 = 8x\]

Answer 3

By the definition of the logarithm

Answer 4

So then what would you do?

Answer 5

how do i solve for x?

Answer 6

Well, you have \(8x = e^4\)

If I told you that 7a = 25, how would you solve for a?

Answer 7

divide 25 by 7

Answer 8

would the answer be 6.82?

Answer 9

Yep, or at least that's a close approximation.

Answer 10

okay, so if were to have ln(5-x)=12
how would ibegin with solving that?

Answer 11

Same deal.

\[ln(a) = b \iff e^b = a\]

Answer 12

Those two expressions are equivalent.

Answer 13

ok, so e to the 12 power = 5-x ?

Answer 14

Yes

Answer 15

does it equal approx -162749.8?

Answer 16

yep

Answer 17

thank you

Answer 18

Very welcome =)